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56106968520 = 23352334574391
BaseRepresentation
bin110100010000001111…
…000110010111001000
312100211012011022112010
4310100033012113020
51404401340443040
641435235015520
74024245235461
oct642017062710
9170735138463
1056106968520
1121881a14979
12aa5a13a5a0
1353a204c075
142a03825d68
1516d5aabe80
hexd103c65c8

56106968520 has 128 divisors (see below), whose sum is σ = 169451792640. Its totient is φ = 14861660160.

The previous prime is 56106968513. The next prime is 56106968557. The reversal of 56106968520 is 2586960165.

It is a self number, because there is not a number n which added to its sum of digits gives 56106968520.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12775525 + ... + 12779915.

It is an arithmetic number, because the mean of its divisors is an integer number (1323842130).

Almost surely, 256106968520 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 56106968520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84725896320).

56106968520 is an abundant number, since it is smaller than the sum of its proper divisors (113344824120).

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

56106968520 is a wasteful number, since it uses less digits than its factorization.

56106968520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5095 (or 5091 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The spelling of 56106968520 in words is "fifty-six billion, one hundred six million, nine hundred sixty-eight thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 233 457 466 699 914 932 1165 1371 1398 1828 1864 2285 2330 2742 2796 3495 3656 4391 4570 4660 5484 5592 6855 6990 8782 9140 9320 10968 13173 13710 13980 17564 18280 21955 26346 27420 27960 35128 43910 52692 54840 65865 87820 105384 106481 131730 175640 212962 263460 319443 425924 526920 532405 638886 851848 1023103 1064810 1277772 1597215 2006687 2046206 2129620 2555544 3069309 3194430 4013374 4092412 4259240 5115515 6020061 6138618 6388860 8026748 8184824 10033435 10231030 12040122 12277236 12777720 15346545 16053496 20066870 20462060 24080244 24554472 30100305 30693090 40133740 40924120 48160488 60200610 61386180 80267480 120401220 122772360 240802440 467558071 935116142 1402674213 1870232284 2337790355 2805348426 3740464568 4675580710 5610696852 7013371065 9351161420 11221393704 14026742130 18702322840 28053484260 56106968520