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57089978568 = 23327611856947
BaseRepresentation
bin110101001010110100…
…111111000011001000
312110100200212101210200
4311022310333003020
51413410013303233
642120552212200
74060512545130
oct651264770310
9173320771720
1057089978568
1122236893977
12b09339a060
1354ca8bac0c
142a981cdac0
151742034313
hexd4ad3f0c8

57089978568 has 96 divisors (see below), whose sum is σ = 179604010560. Its totient is φ = 16044013440.

The previous prime is 57089978531. The next prime is 57089978591. The reversal of 57089978568 is 86587998075.

57089978568 is a `hidden beast` number, since 57 + 0 + 8 + 9 + 9 + 7 + 8 + 568 = 666.

57089978568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 57089978496 and 57089978505.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 897730 + ... + 959217.

It is an arithmetic number, because the mean of its divisors is an integer number (1870875110).

Almost surely, 257089978568 is an apocalyptic number.

It is an amenable number.

57089978568 is an abundant number, since it is smaller than the sum of its proper divisors (122514031992).

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

57089978568 is a wasteful number, since it uses less digits than its factorization.

57089978568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1857027 (or 1857020 counting only the distinct ones).

The product of its (nonzero) digits is 304819200, while the sum is 72.

The spelling of 57089978568 in words is "fifty-seven billion, eighty-nine million, nine hundred seventy-eight thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 61 63 72 84 122 126 168 183 244 252 366 427 488 504 549 732 854 1098 1281 1464 1708 2196 2562 3416 3843 4392 5124 7686 10248 15372 30744 1856947 3713894 5570841 7427788 11141682 12998629 14855576 16712523 22283364 25997258 33425046 38995887 44566728 51994516 66850092 77991774 103989032 113273767 116987661 133700184 155983548 226547534 233975322 311967096 339821301 453095068 467950644 679642602 792916369 906190136 935901288 1019463903 1359285204 1585832738 2038927806 2378749107 2718570408 3171665476 4077855612 4757498214 6343330952 7136247321 8155711224 9514996428 14272494642 19029992856 28544989284 57089978568