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57166508412 = 223213438593307
BaseRepresentation
bin110101001111011000…
…111011000101111100
312110120000212112000100
4311033120323011330
51414034111232122
642132324401100
74062432206166
oct651730730574
9173500775010
1057166508412
1122276004982
12b0b4b46190
135510704950
142aa4431936
151748aeeaac
hexd4f63b17c

57166508412 has 144 divisors (see below), whose sum is σ = 159472593280. Its totient is φ = 17155442304.

The previous prime is 57166508411. The next prime is 57166508429. The reversal of 57166508412 is 21480566175.

57166508412 is a `hidden beast` number, since 5 + 71 + 66 + 508 + 4 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57166508411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17284863 + ... + 17288169.

Almost surely, 257166508412 is an apocalyptic number.

57166508412 is a gapful number since it is divisible by the number (52) 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 57166508412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79736296640).

57166508412 is an abundant number, since it is smaller than the sum of its proper divisors (102306084868).

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

57166508412 is a wasteful number, since it uses less digits than its factorization.

57166508412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4232 (or 4227 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 57166508412 in words is "fifty-seven billion, one hundred sixty-six million, five hundred eight thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 43 52 78 86 117 129 156 172 234 258 387 468 516 559 774 859 1118 1548 1677 1718 2236 2577 3307 3354 3436 5031 5154 6614 6708 7731 9921 10062 10308 11167 13228 15462 19842 20124 22334 29763 30924 33501 36937 39684 42991 44668 59526 67002 73874 85982 100503 110811 119052 128973 134004 142201 147748 171964 201006 221622 257946 284402 332433 386919 402012 426603 443244 480181 515892 568804 664866 773838 853206 960362 1279809 1329732 1440543 1547676 1706412 1848613 1920724 2559618 2840713 2881086 3697226 4321629 5119236 5545839 5681426 5762172 7394452 8522139 8643258 11091678 11362852 16637517 17044278 17286516 22183356 25566417 33275034 34088556 36929269 51132834 66550068 73858538 102265668 110787807 122150659 147717076 221575614 244301318 332363421 366451977 443151228 488602636 664726842 732903954 1099355931 1329453684 1465807908 1587958567 2198711862 3175917134 4397423724 4763875701 6351834268 9527751402 14291627103 19055502804 28583254206 57166508412