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56540474496 = 2733111738597
BaseRepresentation
bin110100101010000100…
…110010110010000000
312101221101212200221000
4310222010302302000
51411243330140441
641550242332000
74041061050342
oct645204626200
9171841780830
1056540474496
1121a84695380
12ab5b35a000
135440ac238c
142a4522d292
15170db8d2b6
hexd2a132c80

56540474496 has 256 divisors, whose sum is σ = 183116764800. Its totient is φ = 17032458240.

The previous prime is 56540474491. The next prime is 56540474509. The reversal of 56540474496 is 69447404565.

56540474496 is a `hidden beast` number, since 5 + 6 + 540 + 4 + 7 + 4 + 4 + 96 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (56540474491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6572470 + ... + 6581066.

Almost surely, 256540474496 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 56540474496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91558382400).

56540474496 is an abundant number, since it is smaller than the sum of its proper divisors (126576290304).

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

56540474496 is a wasteful number, since it uses less digits than its factorization.

56540474496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8804 (or 8786 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 56540474496 in words is "fifty-six billion, five hundred forty million, four hundred seventy-four thousand, four hundred ninety-six".