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57131873008 = 24721311673331
BaseRepresentation
bin110101001101010100…
…110011001011110000
312110110121200212011121
4311031110303023300
51414001224414013
642125050152024
74061531623300
oct651524631360
9173417625147
1057131873008
11222584a8881
12b0a5422614
135506498b22
142a9d9b7600
151745a5c58d
hexd4d5332f0

57131873008 has 120 divisors (see below), whose sum is σ = 130564393344. Its totient is φ = 24145430400.

The previous prime is 57131872969. The next prime is 57131873011. The reversal of 57131873008 is 80037813175.

57131873008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17149903 + ... + 17153233.

Almost surely, 257131873008 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 57131873008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65282196672).

57131873008 is an abundant number, since it is smaller than the sum of its proper divisors (73432520336).

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

57131873008 is a wasteful number, since it uses less digits than its factorization.

57131873008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3651 (or 3638 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 43.

The spelling of 57131873008 in words is "fifty-seven billion, one hundred thirty-one million, eight hundred seventy-three thousand, eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 131 167 196 262 334 392 524 668 784 917 1048 1169 1336 1834 2096 2338 2672 3331 3668 4676 6419 6662 7336 8183 9352 12838 13324 14672 16366 18704 21877 23317 25676 26648 32732 43754 46634 51352 53296 65464 87508 93268 102704 130928 153139 163219 175016 186536 306278 326438 350032 373072 436361 556277 612556 652876 872722 1071973 1112554 1225112 1305752 1745444 2143946 2225108 2450224 2611504 3054527 3490888 3893939 4287892 4450216 6109054 6981776 7787878 8575784 8900432 12218108 15575756 17151568 21381689 24436216 27257573 31151512 42763378 48872432 54515146 62303024 72872287 85526756 109030292 145744574 171053512 218060584 291489148 342107024 436121168 510106009 582978296 1020212018 1165956592 2040424036 3570742063 4080848072 7141484126 8161696144 14282968252 28565936504 57131873008