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56983080960 = 212335137927
BaseRepresentation
bin110101000100011101…
…001101000000000000
312110002020201102212000
4311010131031000000
51413200132042320
642102213104000
74055044124241
oct650435150000
9173066642760
1056983080960
1122191511143
12b063628000
1354b17009b0
142a87d24cc8
15173796ac90
hexd4474d000

56983080960 has 416 divisors, whose sum is σ = 218192513280. Its totient is φ = 14024835072.

The previous prime is 56983080893. The next prime is 56983081061. The reversal of 56983080960 is 6908038965.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 56983080897 and 56983080906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7184517 + ... + 7192443.

Almost surely, 256983080960 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 56983080960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109096256640).

56983080960 is an abundant number, since it is smaller than the sum of its proper divisors (161209432320).

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

56983080960 is a wasteful number, since it uses less digits than its factorization.

56983080960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7978 (or 7950 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 56983080960 in words is "fifty-six billion, nine hundred eighty-three million, eighty thousand, nine hundred sixty".