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57347874375 = 3541121714869
BaseRepresentation
bin110101011010001100…
…110001111001000111
312111000200010212100020
4311122030301321013
51414422023440000
642202323550223
74100063614011
oct653214617107
9174020125306
1057347874375
112235941a900
12b14582b373
13553c16649c
142ac05631b1
1517599c7ba0
hexd5a331e47

57347874375 has 120 divisors (see below), whose sum is σ = 111210588720. Its totient is φ = 26167680000.

The previous prime is 57347874329. The next prime is 57347874407.

57347874375 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57347874375 - 211 = 57347872327 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3849441 + ... + 3864309.

It is an arithmetic number, because the mean of its divisors is an integer number (926754906).

Almost surely, 257347874375 is an apocalyptic number.

57347874375 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57347874375 is a deficient number, since it is larger than the sum of its proper divisors (53862714345).

57347874375 is a wasteful number, since it uses less digits than its factorization.

57347874375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14931 (or 14905 counting only the distinct ones).

The product of its digits is 69148800, while the sum is 60.

The spelling of 57347874375 in words is "fifty-seven billion, three hundred forty-seven million, eight hundred seventy-four thousand, three hundred seventy-five".

Divisors: 1 3 5 11 15 17 25 33 51 55 75 85 121 125 165 187 255 275 363 375 425 561 605 625 825 935 1275 1375 1815 1875 2057 2125 2805 3025 4125 4675 6171 6375 6875 9075 10285 10625 14025 14869 15125 20625 23375 30855 31875 44607 45375 51425 70125 74345 75625 116875 154275 163559 223035 226875 252773 257125 350625 371725 490677 758319 771375 817795 1115175 1263865 1285625 1799149 1858625 2453385 2780503 3791595 3856875 4088975 5397447 5575875 6319325 8341509 8995745 9293125 12266925 13902515 18957975 20444875 26987235 27879375 30585533 31596625 41707545 44978725 61334625 69512575 91756599 94789875 102224375 134936175 152927665 157983125 208537725 224893625 306673125 347562875 458782995 473949375 674680875 764638325 1042688625 1124468125 1737814375 2293914975 3373404375 3823191625 5213443125 11469574875 19115958125 57347874375