Search: id:A068186
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%I A068186
%S A068186 22,333,22222222,55555,333333222222,7777777,222222222222222222222222,
%T A068186 333333333333333333,55555555552222222222,0,
%U A068186 3333333333332222222222222222222222222,0,7777777777777722222222222222
%N A068186 a(n) is the largest number whose product of decimal digits equals n^n.
%C A068186 No digit=1 is permitted to avoid infinite number of solutions; a(n)=0 
               if A067734(n^n)=0.
%F A068186 a(n) is obtained as prime-factors of n^n concatenated in order of magnitude 
               and with repetitions; a(n)=0 if n has p>7 prime factors.
%e A068186 n=10, 10^10=10000000000, a(5)=55555555552222222222
%Y A068186 Cf. A000312, A001222, A002473, A067734, A068183-A068187, A068189-A068191.
%Y A068186 Sequence in context: A053422 A000461 A048795 this_sequence A021284 A019623 
               A021794
%Y A068186 Adjacent sequences: A068183 A068184 A068185 this_sequence A068187 A068188 
               A068189
%K A068186 base,nonn
%O A068186 2,1
%A A068186 Labos E. (labos(AT)ana.sote.hu), Feb 19 2002

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