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85975388357958 = 23211434219133121
BaseRepresentation
bin10011100011000110110100…
…011110111000010101000110
3102021102011111122020121200100
4103203012310132320111012
542232110043404423313
6502504314222424530
724052342162123221
oct2343066436702506
9367364448217610
1085975388357958
1125437a59399660
129786733732146
1338c85a1281cc8
141733333c105b8
159e163cd63173
hex4e31b47b8546

85975388357958 has 24 divisors (see below), whose sum is σ = 203214554301096. Its totient is φ = 26053147987200.

The previous prime is 85975388357951. The next prime is 85975388358011.

85975388357958 is a `hidden beast` number, since 8 + 5 + 97 + 5 + 3 + 88 + 357 + 95 + 8 = 666.

85975388357958 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85975388357951) 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 11 ways as a sum of consecutive naturals, for example, 217109566363 + ... + 217109566758.

It is an arithmetic number, because the mean of its divisors is an integer number (8467273095879).

Almost surely, 285975388357958 is an apocalyptic number.

85975388357958 is an abundant number, since it is smaller than the sum of its proper divisors (117239165943138).

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

85975388357958 is a wasteful number, since it uses less digits than its factorization.

85975388357958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434219133140 (or 434219133137 counting only the distinct ones).

The product of its digits is 91445760000, while the sum is 90.

The spelling of 85975388357958 in words is "eighty-five trillion, nine hundred seventy-five billion, three hundred eighty-eight million, three hundred fifty-seven thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 434219133121 868438266242 1302657399363 2605314798726 3907972198089 4776410464331 7815944396178 9552820928662 14329231392993 28658462785986 42987694178979 85975388357958