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57457899875475 = 32521197212388161
BaseRepresentation
bin11010001000001111101011…
…01101100010110010010011
321112102220212211112001000100
431010013311231202302103
530012342234332003400
6322111443402223443
715050124215414121
oct1504076555426223
9245386784461010
1057457899875475
1117342838612190
12653b8864b4b83
13260a344cb4388
141028d975b6911
15699929e1b100
hex3441f5b62c93

57457899875475 has 72 divisors (see below), whose sum is σ = 112280850221904. Its totient is φ = 27855498240000.

The previous prime is 57457899875473. The next prime is 57457899875521.

57457899875475 is a `hidden beast` number, since 5 + 7 + 4 + 57 + 8 + 9 + 9 + 8 + 7 + 547 + 5 = 666.

57457899875475 is nontrivially palindromic in base 10.

57457899875475 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 57457899875475 - 21 = 57457899875473 is a prime.

It is a super-2 number, since 2×574578998754752 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (57457899875473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22865395 + ... + 25253555.

It is an arithmetic number, because the mean of its divisors is an integer number (1559456253082).

Almost surely, 257457899875475 is an apocalyptic number.

57457899875475 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57457899875475 is a deficient number, since it is larger than the sum of its proper divisors (54822950346429).

57457899875475 is a wasteful number, since it uses less digits than its factorization.

57457899875475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397909 (or 2397901 counting only the distinct ones).

The product of its digits is 124467840000, while the sum is 90.

The spelling of 57457899875475 in words is "fifty-seven trillion, four hundred fifty-seven billion, eight hundred ninety-nine million, eight hundred seventy-five thousand, four hundred seventy-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 165 225 275 495 825 2475 9721 29163 48605 87489 106931 145815 243025 320793 437445 534655 729075 962379 1603965 2187225 2388161 2673275 4811895 7164483 8019825 11940805 21493449 24059475 26269771 35822415 59704025 78809313 107467245 131348855 179112075 236427939 394046565 537336225 656744275 1182139695 1970232825 5910698475 23215313081 69645939243 116076565405 208937817729 255368443891 348229696215 580382827025 766105331673 1044689088645 1276842219455 1741148481075 2298315995019 3830526658365 5223445443225 6384211097275 11491579975095 19152633291825 57457899875475