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%I #10 Jun 19 2016 02:57:44
%S 4503599627370496,6461081889226673298932241,
%T 2220446049250313080847263336181640625,
%U 88124787089723195184393736687912818113311201,1420429319844313329730664601483335671261683881745483121,8415003868347247618489696679505181495471801448798649088081
%N Numbers with 53 divisors.
%C 52nd powers of primes.
%C The n-th number with p divisors is equal to the n-th prime raised to power p-1, where p is prime.
%H Omar E. Pol, <a href="http://www.polprimos.com">Determinacion geometrica de los numeros primos y perfectos</a>
%F a(n) = A000040(n)^(53-1) = A000040(n)^52.
%t Prime[Range[9]]^52 (* _Vladimir Joseph Stephan Orlovsky_, May 06 2011 *)
%o (PARI) a(n)=prime(n)^52 \\ _Charles R Greathouse IV_, Jun 19 2016
%Y Cf. A000005, A000040, A001248, A030514, A030516, A030629, A030631, A030635, A030637, A137486, A137492, A139571, A139572, A139573, A139574, A139575.
%K nonn,easy
%O 1,1
%A _Omar E. Pol_, Oct 16 2010
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