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54257082880 = 2957111331683
BaseRepresentation
bin110010100001111110…
…010110001000000000
312012001021021101111011
4302201332112020000
51342104303123010
640531513330304
73630353411050
oct624176261000
9165037241434
1054257082880
1121012788470
12a622706994
135168a13990
1428a9c85560
15162849ca8a
hexca1f96200

54257082880 has 640 divisors, whose sum is σ = 180564443136. Its totient is φ = 15084748800.

The previous prime is 54257082863. The next prime is 54257082899. The reversal of 54257082880 is 8828075245.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79439019 + ... + 79439701.

Almost surely, 254257082880 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 54257082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90282221568).

54257082880 is an abundant number, since it is smaller than the sum of its proper divisors (126307360256).

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

54257082880 is a wasteful number, since it uses less digits than its factorization.

54257082880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 1433600, while the sum is 49.

The spelling of 54257082880 in words is "fifty-four billion, two hundred fifty-seven million, eighty-two thousand, eight hundred eighty".