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57378697056 = 25341941157181
BaseRepresentation
bin110101011100000010…
…010110111101100000
312111002211010211010000
4311130002112331200
51420002421301211
642205344340000
74100616610032
oct653402267540
9174084124100
1057378697056
112237486239a
12b154014600
135545668a65
142ac46a7c52
15175c565656
hexd5c096f60

57378697056 has 480 divisors, whose sum is σ = 184133869920. Its totient is φ = 17468006400.

The previous prime is 57378697009. The next prime is 57378697067. The reversal of 57378697056 is 65079687375.

57378697056 is a `hidden beast` number, since 573 + 7 + 8 + 6 + 9 + 7 + 0 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 57378696984 and 57378697002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 317009286 + ... + 317009466.

It is an arithmetic number, because the mean of its divisors is an integer number (383612229).

Almost surely, 257378697056 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 57378697056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92066934960).

57378697056 is an abundant number, since it is smaller than the sum of its proper divisors (126755172864).

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

57378697056 is a wasteful number, since it uses less digits than its factorization.

57378697056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 66679200, while the sum is 63.

The spelling of 57378697056 in words is "fifty-seven billion, three hundred seventy-eight million, six hundred ninety-seven thousand, fifty-six".