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56557122528 = 2535519106747
BaseRepresentation
bin110100101011000100…
…010011001111100000
312101222120012111201210
4310223010103033200
51411312110410103
641552035230120
74041352416024
oct645304231740
9171876174653
1056557122528
1121a93026285
12ab64a48340
1354443a0b9a
142a47524384
15171037ae03
hexd2b1133e0

56557122528 has 48 divisors (see below), whose sum is σ = 148490737920. Its totient is φ = 18848781696.

The previous prime is 56557122511. The next prime is 56557122541. The reversal of 56557122528 is 82522175565.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×565571225282 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 476451 + ... + 583197.

It is an arithmetic number, because the mean of its divisors is an integer number (3093557040).

Almost surely, 256557122528 is an apocalyptic number.

It is an amenable number.

56557122528 is an abundant number, since it is smaller than the sum of its proper divisors (91933615392).

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

56557122528 is a wasteful number, since it uses less digits than its factorization.

56557122528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112279 (or 112271 counting only the distinct ones).

The product of its digits is 1680000, while the sum is 48.

The spelling of 56557122528 in words is "fifty-six billion, five hundred fifty-seven million, one hundred twenty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 5519 11038 16557 22076 33114 44152 66228 88304 106747 132456 176608 213494 264912 320241 426988 529824 640482 853976 1280964 1707952 2561928 3415904 5123856 10247712 589136693 1178273386 1767410079 2356546772 3534820158 4713093544 7069640316 9426187088 14139280632 18852374176 28278561264 56557122528