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57680537376 = 2537311231467
BaseRepresentation
bin110101101110000001…
…110010011100100000
312111212212002220012010
4311232001302130200
51421112204144001
642255330032520
74111243323000
oct655601623440
9174785086163
1057680537376
112250a183500
12b219118740
13559305c3b7
142b127da000
151778cd98d6
hexd6e072720

57680537376 has 576 divisors, whose sum is σ = 200774246400. Its totient is φ = 14467622400.

The previous prime is 57680537359. The next prime is 57680537423. The reversal of 57680537376 is 67373508675.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 123512695 + ... + 123513161.

It is an arithmetic number, because the mean of its divisors is an integer number (348566400).

Almost surely, 257680537376 is an apocalyptic number.

57680537376 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 57680537376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100387123200).

57680537376 is an abundant number, since it is smaller than the sum of its proper divisors (143093709024).

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

57680537376 is a wasteful number, since it uses less digits than its factorization.

57680537376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 22226400, while the sum is 57.

The spelling of 57680537376 in words is "fifty-seven billion, six hundred eighty million, five hundred thirty-seven thousand, three hundred seventy-six".