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56464046465 = 52941101271347
BaseRepresentation
bin110100100101100001…
…001111100110000001
312101202002001202101012
4310211201033212001
51411114243441330
641534512250305
74036142322161
oct644541174601
9171662052335
1056464046465
1121a45533912
12ab39840995
13542b012aa8
142a390165a1
1517070e2c95
hexd2584f981

56464046465 has 64 divisors (see below), whose sum is σ = 72991134720. Its totient is φ = 41852160000.

The previous prime is 56464046411. The next prime is 56464046467.

56464046465 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56464046465 - 216 = 56463980929 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (56464046467) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 162720422 + ... + 162720768.

It is an arithmetic number, because the mean of its divisors is an integer number (1140486480).

Almost surely, 256464046465 is an apocalyptic number.

It is an amenable number.

56464046465 is a deficient number, since it is larger than the sum of its proper divisors (16527088255).

56464046465 is a wasteful number, since it uses less digits than its factorization.

56464046465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794.

The product of its (nonzero) digits is 8294400, while the sum is 50.

The spelling of 56464046465 in words is "fifty-six billion, four hundred sixty-four million, forty-six thousand, four hundred sixty-five".

Divisors: 1 5 29 41 101 145 205 271 347 505 1189 1355 1735 2929 4141 5945 7859 10063 11111 14227 14645 20705 27371 35047 39295 50315 55555 71135 94037 120089 136855 175235 322219 412583 470185 600445 793759 1016363 1122211 1436927 1611095 2062915 2727073 3855517 3968795 5081815 5611055 7184635 9497737 13635365 19277585 32544119 41670883 47488685 111809993 162720595 208354415 275434373 389407217 559049965 1377171865 1947036085 11292809293 56464046465