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57051233316 = 223272114472
BaseRepresentation
bin110101001000100001…
…001011110000100100
312110020222221221022100
4311020201023300210
51413320103431231
642113045532100
74056532324200
oct651041136044
9173228857270
1057051233316
1122216a30000
12b082414030
1354c287352c
142a92dc5b00
15173d92e1e6
hexd4884bc24

57051233316 has 405 divisors, whose sum is σ = 188542185195. Its totient is φ = 14503214880.

The previous prime is 57051233311. The next prime is 57051233333. The reversal of 57051233316 is 61333215075.

The square root of 57051233316 is 238854.

It is a perfect power (a square), and thus also a powerful number.

57051233316 is a `hidden beast` number, since 570 + 51 + 2 + 3 + 3 + 31 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (57051233311) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1213856005 + ... + 1213856051.

Almost surely, 257051233316 is an apocalyptic number.

57051233316 is the 238854-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57051233316

57051233316 is an abundant number, since it is smaller than the sum of its proper divisors (131490951879).

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

57051233316 is a wasteful number, since it uses less digits than its factorization.

57051233316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

Multiplying 57051233316 by its sum of digits (36), we get a square (2053844399376 = 14331242).

57051233316 divided by its sum of digits (36) gives a square (1584756481 = 398092).

The spelling of 57051233316 in words is "fifty-seven billion, fifty-one million, two hundred thirty-three thousand, three hundred sixteen".