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57112961904 = 24326114514481
BaseRepresentation
bin110101001100001100…
…101010001101110000
312110102022010002000100
4311030030222031300
51413431404240104
642123132552400
74061212111005
oct651414521560
9173368102010
1057112961904
1122248861669
12b09b022700
1355025a721b
142a9b2938ac
151744074139
hexd4c32a370

57112961904 has 120 divisors (see below), whose sum is σ = 162605489904. Its totient is φ = 18708480000.

The previous prime is 57112961903. The next prime is 57112961923. The reversal of 57112961904 is 40916921175.

57112961904 is a `hidden beast` number, since 5 + 7 + 1 + 1 + 29 + 619 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 57112961904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57112961903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12743344 + ... + 12747824.

Almost surely, 257112961904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57112961904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81302744952).

57112961904 is an abundant number, since it is smaller than the sum of its proper divisors (105492528000).

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

57112961904 is a wasteful number, since it uses less digits than its factorization.

57112961904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6007 (or 5998 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 57112961904 in words is "fifty-seven billion, one hundred twelve million, nine hundred sixty-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 732 976 1098 1451 1464 2196 2902 2928 4353 4392 4481 5804 8706 8784 8962 11608 13059 13443 17412 17924 23216 26118 26886 34824 35848 40329 52236 53772 69648 71696 80658 88511 104472 107544 161316 177022 208944 215088 265533 273341 322632 354044 531066 546682 645264 708088 796599 820023 1062132 1093364 1416176 1593198 1640046 2124264 2186728 2460069 3186396 3280092 4248528 4373456 4920138 6372792 6501931 6560184 9840276 12745584 13003862 13120368 19505793 19680552 26007724 39011586 39361104 52015448 58517379 78023172 104030896 117034758 156046344 234069516 312092688 396617791 468139032 793235582 936278064 1189853373 1586471164 2379706746 3172942328 3569560119 4759413492 6345884656 7139120238 9518826984 14278240476 19037653968 28556480952 57112961904