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56296753920 = 28335111731281
BaseRepresentation
bin110100011011100011…
…000100101100000000
312101022102021102011000
4310123203010230000
51410243432111140
641510134452000
74032041340621
oct643343045400
9171272242130
1056296753920
112196a060510
12aab1804000
13540246ac14
142a20b09a48
1516e7599a30
hexd1b8c4b00

56296753920 has 1152 divisors, whose sum is σ = 239047925760. Its totient is φ = 12386304000.

The previous prime is 56296753913. The next prime is 56296753949. The reversal of 56296753920 is 2935769265.

56296753920 is a `hidden beast` number, since 5 + 6 + 29 + 67 + 539 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 200344180 + ... + 200344460.

It is an arithmetic number, because the mean of its divisors is an integer number (207506880).

Almost surely, 256296753920 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 56296753920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119523962880).

56296753920 is an abundant number, since it is smaller than the sum of its proper divisors (182751171840).

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

56296753920 is a wasteful number, since it uses less digits than its factorization.

56296753920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 56296753920 in words is "fifty-six billion, two hundred ninety-six million, seven hundred fifty-three thousand, nine hundred twenty".