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Numbers with 59 divisors.
11

%I #10 May 13 2013 01:49:29

%S 288230376151711744,4710128697246244834921603689,

%T 34694469519536141888238489627838134765625,

%U 10367793076318844190248738727596255138212949486449

%N Numbers with 59 divisors.

%C Also, 58th 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 OEIS Wiki, <a href="https://oeis.org/wiki/Index_entries_for_number_of_divisors">Index entries for number of divisors</a>

%F a(n) = A000040(n)^(59-1) = A000040(n)^58.

%F A000005(a(n)) = 59.

%o (PARI) a(n)=prime(n)^58 \\ _Charles R Greathouse IV_, Jul 31 2011

%Y Cf. A000005, A000040, A001248, A030514, A030516, A030629, A030631, A030635, A030637, A137486, A137492, A139571, A139572, A139573, A139574, A139575, A173533.

%K nonn,easy

%O 1,1

%A _Omar E. Pol_, Jul 31 2011