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56224861056 = 27327213174507
BaseRepresentation
bin110100010111010000…
…110100101110000000
312101010101222212200100
4310113100310232000
51410122031023211
641455045522400
74030206301500
oct642720645600
9171111885610
1056224861056
1121932517321
12aa91713400
1353c05b8970
142a15353a00
1516e10e8156
hexd17434b80

56224861056 has 576 divisors, whose sum is σ = 214655903280. Its totient is φ = 13953171456.

The previous prime is 56224860997. The next prime is 56224861061. The reversal of 56224861056 is 65016842265.

56224861056 is a `hidden beast` number, since 5 + 6 + 2 + 24 + 8 + 610 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×562248610562 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12472755 + ... + 12477261.

Almost surely, 256224861056 is an apocalyptic number.

56224861056 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 56224861056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107327951640).

56224861056 is an abundant number, since it is smaller than the sum of its proper divisors (158431042224).

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

56224861056 is a wasteful number, since it uses less digits than its factorization.

56224861056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4571 (or 4549 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 56224861056 in words is "fifty-six billion, two hundred twenty-four million, eight hundred sixty-one thousand, fifty-six".