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57292138404 = 22331499973571
BaseRepresentation
bin110101010110111000…
…001010011110100100
312110212210021011222000
4311112320022132210
51414313241412104
642153013205300
74065516066324
oct652670123644
9173783234860
1057292138404
112232aa11616
12b12b030830
135530750317
142ab6db5284
151754b68639
hexd56e0a7a4

57292138404 has 96 divisors (see below), whose sum is σ = 149723952000. Its totient is φ = 18944876160.

The previous prime is 57292138313. The next prime is 57292138429. The reversal of 57292138404 is 40483129275.

57292138404 is a `hidden beast` number, since 5 + 7 + 29 + 213 + 8 + 404 = 666.

57292138404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 57292138404.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16041939 + ... + 16045509.

It is an arithmetic number, because the mean of its divisors is an integer number (1559624500).

Almost surely, 257292138404 is an apocalyptic number.

57292138404 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57292138404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74861976000).

57292138404 is an abundant number, since it is smaller than the sum of its proper divisors (92431813596).

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

57292138404 is a wasteful number, since it uses less digits than its factorization.

57292138404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4730 (or 4722 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 57292138404 in words is "fifty-seven billion, two hundred ninety-two million, one hundred thirty-eight thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 149 298 447 596 894 997 1341 1788 1994 2682 2991 3571 3988 4023 5364 5982 7142 8046 8973 10713 11964 14284 16092 17946 21426 26919 32139 35892 42852 53838 64278 96417 107676 128556 148553 192834 297106 385668 445659 532079 594212 891318 1064158 1336977 1596237 1782636 2128316 2673954 3192474 3560287 4010931 4788711 5347908 6384948 7120574 8021862 9577422 10680861 14241148 14366133 16043724 19154844 21361722 28732266 32042583 42723444 57464532 64085166 96127749 128170332 192255498 384510996 530482763 1060965526 1591448289 2121931052 3182896578 4774344867 6365793156 9548689734 14323034601 19097379468 28646069202 57292138404