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57466775296 = 287251127763
BaseRepresentation
bin110101100001010010…
…010110011100000000
312111022221212122202001
4311201102112130000
51420142443302141
642222212233344
74103036346640
oct654122263400
9174287778661
1057466775296
112240a550927
12b17960b854
13555a997068
142ad2274520
151765162a31
hexd61496700

57466775296 has 72 divisors (see below), whose sum is σ = 131619406464. Its totient is φ = 24530304000.

The previous prime is 57466775291. The next prime is 57466775323. The reversal of 57466775296 is 69257766475.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57466775291) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 385911 + ... + 513673.

It is an arithmetic number, because the mean of its divisors is an integer number (1828047312).

Almost surely, 257466775296 is an apocalyptic number.

57466775296 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57466775296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65809703232).

57466775296 is an abundant number, since it is smaller than the sum of its proper divisors (74152631168).

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

57466775296 is a wasteful number, since it uses less digits than its factorization.

57466775296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128037 (or 128023 counting only the distinct ones).

The product of its digits is 133358400, while the sum is 64.

The spelling of 57466775296 in words is "fifty-seven billion, four hundred sixty-six million, seven hundred seventy-five thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 251 256 448 502 896 1004 1757 1792 2008 3514 4016 7028 8032 14056 16064 28112 32128 56224 64256 112448 127763 224896 255526 449792 511052 894341 1022104 1788682 2044208 3577364 4088416 7154728 8176832 14309456 16353664 28618912 32068513 32707328 57237824 64137026 114475648 128274052 224479591 228951296 256548104 448959182 513096208 897918364 1026192416 1795836728 2052384832 3591673456 4104769664 7183346912 8209539328 14366693824 28733387648 57466775296