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57031576992 = 25321343354251
BaseRepresentation
bin110101000111010110…
…001100110110100000
312110012121222021220100
4311013112030312200
51413300040430432
642111104342400
74056203256135
oct650726146640
9173177867810
1057031576992
1122206924a05
12b077914a00
1354bb780680
142a9054a58c
15173bd4a07c
hexd4758cda0

57031576992 has 144 divisors (see below), whose sum is σ = 178721551008. Its totient is φ = 17140032000.

The previous prime is 57031576991. The next prime is 57031577077. The reversal of 57031576992 is 29967513075.

57031576992 is a `hidden beast` number, since 570 + 3 + 1 + 5 + 7 + 69 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (57031576991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16134 + ... + 338117.

It is an arithmetic number, because the mean of its divisors is an integer number (1241121882).

Almost surely, 257031576992 is an apocalyptic number.

57031576992 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 57031576992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89360775504).

57031576992 is an abundant number, since it is smaller than the sum of its proper divisors (121689974016).

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

57031576992 is a wasteful number, since it uses less digits than its factorization.

57031576992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354323 (or 354312 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 54.

The spelling of 57031576992 in words is "fifty-seven billion, thirty-one million, five hundred seventy-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 43 48 52 72 78 86 96 104 117 129 144 156 172 208 234 258 288 312 344 387 416 468 516 559 624 688 774 936 1032 1118 1248 1376 1548 1677 1872 2064 2236 3096 3354 3744 4128 4472 5031 6192 6708 8944 10062 12384 13416 17888 20124 26832 40248 53664 80496 160992 354251 708502 1062753 1417004 2125506 2834008 3188259 4251012 4605263 5668016 6376518 8502024 9210526 11336032 12753036 13815789 15232793 17004048 18421052 25506072 27631578 30465586 34008096 36842104 41447367 45698379 51012144 55263156 60931172 73684208 82894734 91396758 102024288 110526312 121862344 137095137 147368416 165789468 182793516 198026309 221052624 243724688 274190274 331578936 365587032 396052618 442105248 487449376 548380548 594078927 663157872 731174064 792105236 1096761096 1188157854 1326315744 1462348128 1584210472 1782236781 2193522192 2376315708 3168420944 3564473562 4387044384 4752631416 6336841888 7128947124 9505262832 14257894248 19010525664 28515788496 57031576992