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57854812068 = 223271118719069
BaseRepresentation
bin110101111000011010…
…100101111110100100
312112100000000222010100
4311320122211332210
51421441312441233
642324513224100
74115460534324
oct657032457644
9175300028110
1057854812068
1122599595679
12b267562030
1355c01aa311
142b2ba03284
151789261813
hexd786a5fa4

57854812068 has 72 divisors (see below), whose sum is σ = 148436608320. Its totient is φ = 18996304320.

The previous prime is 57854812039. The next prime is 57854812079. The reversal of 57854812068 is 86021845875.

57854812068 is a `hidden beast` number, since 5 + 7 + 85 + 481 + 20 + 68 = 666.

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, 3024438 + ... + 3043506.

It is an arithmetic number, because the mean of its divisors is an integer number (2061619560).

Almost surely, 257854812068 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 57854812068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74218304160).

57854812068 is an abundant number, since it is smaller than the sum of its proper divisors (90581796252).

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

57854812068 is a wasteful number, since it uses less digits than its factorization.

57854812068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20337 (or 20332 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 57854812068 in words is "fifty-seven billion, eight hundred fifty-four million, eight hundred twelve thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1187 1278 2374 2556 3561 4748 7122 10683 14244 19069 21366 38138 42732 57207 76276 84277 114414 168554 171621 228828 252831 337108 343242 505662 686484 758493 1011324 1353899 1516986 2707798 3033972 4061697 5415596 8123394 12185091 16246788 22634903 24370182 45269806 48740364 67904709 90539612 135809418 203714127 271618836 407428254 814856508 1607078113 3214156226 4821234339 6428312452 9642468678 14463703017 19284937356 28927406034 57854812068