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57356465375 = 5311216132351
BaseRepresentation
bin110101011010101101…
…100011010011011111
312111001021022022222102
4311122231203103133
51414431223343000
642203232035315
74100226624446
oct653255432337
9174037268872
1057356465375
1122363258400
12b148692b3b
135540b83911
142ac175bd5d
15175a6233d5
hexd5ab634df

57356465375 has 48 divisors (see below), whose sum is σ = 78762063744. Its totient is φ = 41670200000.

The previous prime is 57356465371. The next prime is 57356465389.

57356465375 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57356465375 - 22 = 57356465371 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 57356465375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57356465371) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24395450 + ... + 24397800.

It is an arithmetic number, because the mean of its divisors is an integer number (1640876328).

Almost surely, 257356465375 is an apocalyptic number.

57356465375 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57356465375 is a deficient number, since it is larger than the sum of its proper divisors (21405598369).

57356465375 is a wasteful number, since it uses less digits than its factorization.

57356465375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4001 (or 3980 counting only the distinct ones).

The product of its digits is 39690000, while the sum is 56.

The spelling of 57356465375 in words is "fifty-seven billion, three hundred fifty-six million, four hundred sixty-five thousand, three hundred seventy-five".

Divisors: 1 5 11 25 55 121 125 275 605 1375 1613 2351 3025 8065 11755 15125 17743 25861 40325 58775 88715 129305 195173 201625 284471 293875 443575 646525 975865 1422355 2217875 3232625 3792163 4879325 7111775 18960815 24396625 35558875 41713793 94804075 208568965 458851723 474020375 1042844825 2294258615 5214224125 11471293075 57356465375