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%I #6 Mar 30 2012 17:35:24
%S 1,4,27,256,3125,108,823543,16777216,387420489,12500,285311670611,
%T 6912,302875106592253,3294172,84375,18446744073709551616,
%U 827240261886336764177,1549681956,1978419655660313589123979,800000,22235661,1141246682444
%N If n = product(p_i^e_i), a(n) = product((p_i^e_i)^(p_i^e_i)).
%C Multiplicative with a(p^e) = (p^e)^(p^e) = p^(e*p^e).
%C Equivalently, product over pp a unitary prime power divisor of n of pp^pp.
%o (PARI) a(n)=local(fm,pp);fm=factor(n);prod(k=1,matsize(fm)[1],(pp=fm[k,1]^fm[k,2])^pp)
%Y Cf. A133482.
%K nonn,mult
%O 1,2
%A _Franklin T. Adams-Watters_, May 05 2011