%I A081357
%S A081357 12,
%T A081357 6086555670238378989670371734243169622657830773351885970528324860512791691264
%N A081357 Sublime numbers, numbers for which the number of divisors and the sum 
               of the divisors are both perfect.
%C A081357 a(2) was calculated by K. S. Brown
%D A081357 J.-M. De Koninck, Those Fascinating Numbers, Amer. Math. Soc., 2009. 
               (From N. J. A. Sloane, Aug 28 2009)
%D A081357 M. J. Halm, More Sequences, Mpossibilities 83, April 2003
%D A081357 C. A. Pickover, Wonders of Numbers, p. 215
%H A081357 K. S. Brown, <a href="http://groups.google.com/groups?selm=9503251756591.kevin2003.DLITE%40delphi.com&output=\
               gplain">Odd Sublime Numbers (posting to sci.math newsgroup)</a>
%H A081357 K. S. Brown, <a href="http://www.mathpages.com/home/kmath202/kmath202.htm">
               Sublime Numbers</a>
%H A081357 Dean Hickerson, <a href="http://groups.google.com/groups?selm=3ksjeq%24t0%40mark.ucdavis.edu&output=gplain">
               Re: Twelve is special (posting to sci.math newsgroup)</a>
%H A081357 C. A. Pickover, "Wonders of Numbers, Adventures in Mathematics, Mind 
               and Meaning," <a href="http://www.emis.de/cgi-bin/zmen/ZMATH/en/quick.html?first=1&maxdocs=3&type=html&an\
               =0983.00008&format=complete">Zentralblatt review</a>
%H A081357 G. Villemin's Almanac of Numbers, <a href="http://membres.lycos.fr/villemingerard/
               Decompos/Sublime.htm">Nombres Sublimes</a>
%e A081357 a(1) = 12 because 12 + 6 + 4 + 3 + 2 + 1 = 28 is perfect and number of 
               divisors, 6, is also perfect
%Y A081357 Sequence in context: A145745 A144546 A165970 this_sequence A127708 A094896 
               A067155
%Y A081357 Adjacent sequences: A081354 A081355 A081356 this_sequence A081358 A081359 
               A081360
%K A081357 hard,nonn,bref,more
%O A081357 1,1
%A A081357 Michael Joseph Halm (hierogamous(AT)lycos.com), Apr 20 2003