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56519701056 = 263271337151193
BaseRepresentation
bin110100101000110101…
…100011001001000000
312101212221210022010100
4310220311203021000
51411223020413211
641544221202400
74040416350360
oct645065431100
9171787708110
1056519701056
1121a73996a45
12ab54400400
1354396cabc0
142a425829a0
15170be38156
hexd28d63240

56519701056 has 672 divisors, whose sum is σ = 207202032128. Its totient is φ = 14332723200.

The previous prime is 56519701039. The next prime is 56519701067. The reversal of 56519701056 is 65010791565.

56519701056 is a `hidden beast` number, since 5 + 6 + 519 + 70 + 10 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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, 292848096 + ... + 292848288.

Almost surely, 256519701056 is an apocalyptic number.

56519701056 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 56519701056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103601016064).

56519701056 is an abundant number, since it is smaller than the sum of its proper divisors (150682331072).

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

56519701056 is a wasteful number, since it uses less digits than its factorization.

56519701056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 45.

The spelling of 56519701056 in words is "fifty-six billion, five hundred nineteen million, seven hundred one thousand, fifty-six".