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53797056768 = 283371331289
BaseRepresentation
bin110010000110100011…
…011111000100000000
312010212012122122022000
4302012203133010000
51340134021304033
640414121344000
73613066303050
oct620643370400
9163765578260
1053797056768
11208a7043aa4
12a514638000
1350c4616590
142864b37560
1515ecdcda13
hexc868df100

53797056768 has 864 divisors, whose sum is σ = 204592953600. Its totient is φ = 13576273920.

The previous prime is 53797056757. The next prime is 53797056793. The reversal of 53797056768 is 86765079735.

53797056768 is a `hidden beast` number, since 5 + 3 + 7 + 9 + 7 + 0 + 567 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 604461268 + ... + 604461356.

It is an arithmetic number, because the mean of its divisors is an integer number (236797400).

Almost surely, 253797056768 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 53797056768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102296476800).

53797056768 is an abundant number, since it is smaller than the sum of its proper divisors (150795896832).

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

53797056768 is a wasteful number, since it uses less digits than its factorization.

53797056768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 145 counting only the distinct ones).

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

The spelling of 53797056768 in words is "fifty-three billion, seven hundred ninety-seven million, fifty-six thousand, seven hundred sixty-eight".