A183085 Numbers with 61 divisors.

1152921504606846976, 42391158275216203514294433201, 867361737988403547205962240695953369140625, 508021860739623365322188197652216501772434524836001

Offset

1,1

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

Table of n, a(n) for n=1..4.

OEIS Wiki, Index entries for number of divisors

Formula

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

A000005(a(n)) = 61.

Prog

(PARI) a(n)=prime(n)^60

Crossrefs

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

Sequence in context: A358020 A095434 A276377 * A257306 A281506 A281507

Adjacent sequences: A183082 A183083 A183084 * A183086 A183087 A183088

Keyword

nonn

Author

Omar E. Pol, Jul 31 2011

Status

approved