Search a number
-
+
57523921056 = 2532768341777
BaseRepresentation
bin110101100100101100…
…010110000010100000
312111110221101221222200
4311210230112002200
51420302110433211
642232013133200
74104332155440
oct654454260240
9174427357880
1057523921056
1122439832328
12b19478a200
135569784b14
142ad9aac120
15176a19eb56
hexd64b160a0

57523921056 has 144 divisors (see below), whose sum is σ = 187230947904. Its totient is φ = 16410949632.

The previous prime is 57523921043. The next prime is 57523921057. The reversal of 57523921056 is 65012932575.

57523921056 is a `hidden beast` number, since 57 + 523 + 9 + 21 + 0 + 56 = 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 (57523921057) 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, 1356040 + ... + 1397816.

It is an arithmetic number, because the mean of its divisors is an integer number (1300214916).

Almost surely, 257523921056 is an apocalyptic number.

57523921056 is a gapful number since it is divisible by the number (56) 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 57523921056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93615473952).

57523921056 is an abundant number, since it is smaller than the sum of its proper divisors (129707026848).

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

57523921056 is a wasteful number, since it uses less digits than its factorization.

57523921056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42483 (or 42472 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 57523921056 in words is "fifty-seven billion, five hundred twenty-three million, nine hundred twenty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 683 1008 1366 2016 2049 2732 4098 4781 5464 6147 8196 9562 10928 12294 14343 16392 19124 21856 24588 28686 32784 38248 41777 43029 49176 57372 65568 76496 83554 86058 98352 114744 125331 152992 167108 172116 196704 229488 250662 292439 334216 344232 375993 458976 501324 584878 668432 688464 751986 877317 1002648 1169756 1336864 1376928 1503972 1754634 2005296 2339512 2631951 3007944 3509268 4010592 4679024 5263902 6015888 7018536 9358048 10527804 12031776 14037072 21055608 28074144 28533691 42111216 57067382 84222432 85601073 114134764 171202146 199735837 228269528 256803219 342404292 399471674 456539056 513606438 599207511 684808584 798943348 913078112 1027212876 1198415022 1369617168 1597886696 1797622533 2054425752 2396830044 2739234336 3195773392 3595245066 4108851504 4793660088 6391546784 7190490132 8217703008 9587320176 14380980264 19174640352 28761960528 57523921056