A183085 Numbers with 61 divisors.

1152921504606846976, 42391158275216203514294433201, 867361737988403547205962240695953369140625, 508021860739623365322188197652216501772434524836001

Offset: 1

Author

Omar E. Pol, Jul 31 2011

Keywords

• nonn

Comments

Also, 60th powers of primes.

The n-th number with p divisors is equal to the n-th prime raised to power p-1, where p is prime.

Links

• OEIS Wiki, Index entries for number of divisors

Crossrefs

Cf. A000005, A000040, A001248, A030514, A030516, A030629, A030631, A030635, A030637, A137486, A137492, A139571, A139572, A139573, A139574, A139575, A173533, A183062.

Programs

PARI

a(n)=prime(n)^60

Formula

a(n) = A000040(n)^(61-1) = A000040(n)^60.

A000005(a(n)) = 61.