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57114092553312 = 25317132292645429
BaseRepresentation
bin11001111110001111010010…
…01100101100010001100000
321111020001110022101110121210
430333013221030230101200
524441224130143201222
6321245504002150120
715013233312404154
oct1477075114542140
9244201408343553
1057114092553312
111721aa50315403
1264a5116052340
1325b3ab33a4082
1410164a038b064
15690a068aed0c
hex33f1e932c460

57114092553312 has 96 divisors (see below), whose sum is σ = 158755640450400. Its totient is φ = 17916785451008.

The previous prime is 57114092553299. The next prime is 57114092553319. The reversal of 57114092553312 is 21335529041175.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57114092553319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20267014 + ... + 22912442.

It is an arithmetic number, because the mean of its divisors is an integer number (1653704588025).

Almost surely, 257114092553312 is an apocalyptic number.

It is an amenable number.

57114092553312 is an abundant number, since it is smaller than the sum of its proper divisors (101641547897088).

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

57114092553312 is a wasteful number, since it uses less digits than its factorization.

57114092553312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2658688 (or 2658680 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 48.

The spelling of 57114092553312 in words is "fifty-seven trillion, one hundred fourteen billion, ninety-two million, five hundred fifty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 13229 26458 39687 52916 79374 105832 158748 211664 224893 317496 423328 449786 634992 674679 899572 1269984 1349358 1799144 2645429 2698716 3598288 5290858 5397432 7196576 7936287 10581716 10794864 15872574 21163432 21589728 31745148 42326864 44972293 63490296 84653728 89944586 126980592 134916879 179889172 253961184 269833758 359778344 539667516 719556688 1079335032 1439113376 2158670064 4317340128 34996380241 69992760482 104989140723 139985520964 209978281446 279971041928 419956562892 559942083856 594938464097 839913125784 1119884167712 1189876928194 1679826251568 1784815392291 2379753856388 3359652503136 3569630784582 4759507712776 7139261569164 9519015425552 14278523138328 19038030851104 28557046276656 57114092553312