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56723896320 = 21135713103197
BaseRepresentation
bin110100110101000000…
…011111100000000000
312102102012000111100220
4310311000133200000
51412132304140240
642020353543040
74045446110010
oct646500374000
9172365014326
1056723896320
1122069184963
12abb0874a80
13546cac38c0
142a61737c40
15171ed205d0
hexd3501f800

56723896320 has 768 divisors, whose sum is σ = 226663557120. Its totient is φ = 11791761408.

The previous prime is 56723896319. The next prime is 56723896363. The reversal of 56723896320 is 2369832765.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 287938462 + ... + 287938658.

It is an arithmetic number, because the mean of its divisors is an integer number (295134840).

Almost surely, 256723896320 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 56723896320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113331778560).

56723896320 is an abundant number, since it is smaller than the sum of its proper divisors (169939660800).

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

56723896320 is a wasteful number, since it uses less digits than its factorization.

56723896320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 56723896320 in words is "fifty-six billion, seven hundred twenty-three million, eight hundred ninety-six thousand, three hundred twenty".