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56965321216 = 291743152203
BaseRepresentation
bin110101000011011001…
…011101001000000000
312110001000022011001201
4311003121131020000
51413131110234331
642100340310544
74054440145456
oct650331351000
9173030264051
1056965321216
1122182490a71
12b0596a2454
1354aab2317b
142a858209d6
15173610da61
hexd4365d200

56965321216 has 80 divisors (see below), whose sum is σ = 123318116064. Its totient is φ = 26183614464.

The previous prime is 56965321211. The next prime is 56965321223. The reversal of 56965321216 is 61212356965.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (56965321211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 298171 + ... + 450373.

Almost surely, 256965321216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56965321216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61659058032).

56965321216 is an abundant number, since it is smaller than the sum of its proper divisors (66352794848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56965321216 is a wasteful number, since it uses less digits than its factorization.

56965321216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152281 (or 152265 counting only the distinct ones).

The product of its digits is 583200, while the sum is 46.

The spelling of 56965321216 in words is "fifty-six billion, nine hundred sixty-five million, three hundred twenty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 43 64 68 86 128 136 172 256 272 344 512 544 688 731 1088 1376 1462 2176 2752 2924 4352 5504 5848 8704 11008 11696 22016 23392 46784 93568 152203 187136 304406 374272 608812 1217624 2435248 2587451 4870496 5174902 6544729 9740992 10349804 13089458 19481984 20699608 26178916 38963968 41399216 52357832 77927936 82798432 104715664 111260393 165596864 209431328 222520786 331193728 418862656 445041572 662387456 837725312 890083144 1324774912 1675450624 1780166288 3350901248 3560332576 7120665152 14241330304 28482660608 56965321216