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57390602144 = 2541111739161
BaseRepresentation
bin110101011100101111…
…110001011110100000
312111010122112122211012
4311130233301132200
51420013443232034
642210451440052
74101123032531
oct653457613640
9174118478735
1057390602144
1122380553907
12b157bb6028
135547c767a5
142ac60c6688
15175d617cce
hexd5cbf17a0

57390602144 has 48 divisors (see below), whose sum is σ = 115850124936. Its totient is φ = 27969638400.

The previous prime is 57390602089. The next prime is 57390602177. The reversal of 57390602144 is 44120609375.

It can be written as a sum of positive squares in 4 ways, for example, as 17545651600 + 39844950544 = 132460^2 + 199612^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1445924 + ... + 1485084.

Almost surely, 257390602144 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 57390602144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57925062468).

57390602144 is an abundant number, since it is smaller than the sum of its proper divisors (58459522792).

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

57390602144 is a wasteful number, since it uses less digits than its factorization.

57390602144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40329 (or 40321 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The spelling of 57390602144 in words is "fifty-seven billion, three hundred ninety million, six hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1117 1312 2234 4468 8936 17872 35744 39161 45797 78322 91594 156644 183188 313288 366376 626576 732752 1253152 1465504 1605601 3211202 6422404 12844808 25689616 43742837 51379232 87485674 174971348 349942696 699885392 1399770784 1793456317 3586912634 7173825268 14347650536 28695301072 57390602144