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56047459200 = 27352411311087
BaseRepresentation
bin110100001100101100…
…000101101110000000
312100200001011221002020
4310030230011232000
51404241122143300
641425311321440
74022623354065
oct641454055600
9170601157066
1056047459200
1121851369717
12aa42220280
135392914555
1429d9974c6c
1516d07548a0
hexd0cb05b80

56047459200 has 384 divisors, whose sum is σ = 190727792640. Its totient is φ = 14456832000.

The previous prime is 56047459189. The next prime is 56047459201. The reversal of 56047459200 is 295474065.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56047459201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51561057 + ... + 51562143.

It is an arithmetic number, because the mean of its divisors is an integer number (496686960).

Almost surely, 256047459200 is an apocalyptic number.

56047459200 is a gapful number since it is divisible by the number (50) 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 56047459200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95363896320).

56047459200 is an abundant number, since it is smaller than the sum of its proper divisors (134680333440).

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

56047459200 is a wasteful number, since it uses less digits than its factorization.

56047459200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 56047459200 in words is "fifty-six billion, forty-seven million, four hundred fifty-nine thousand, two hundred".