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56918507776 = 28132312372
BaseRepresentation
bin110101000000100110…
…111000000100000000
312102220202012210002121
4311000212320010000
51413032114222101
642051545054024
74053331222234
oct650046700400
9172822183077
1056918507776
1122159017379
12b045a87314
1354a1212300
142a7d5165c4
151731e630a1
hexd409b8100

56918507776 has 243 divisors, whose sum is σ = 130651781463. Its totient is φ = 24735559680.

The previous prime is 56918507773. The next prime is 56918507809. The reversal of 56918507776 is 67770581965.

The square root of 56918507776 is 238576.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 236421376 + 56682086400 = 15376^2 + 238080^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (56918507773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1538338030 + ... + 1538338066.

Almost surely, 256918507776 is an apocalyptic number.

56918507776 is the 238576-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56918507776

56918507776 is an abundant number, since it is smaller than the sum of its proper divisors (73733273687).

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

56918507776 is an equidigital number, since it uses as much as digits as its factorization.

56918507776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 22226400, while the sum is 61.

The spelling of 56918507776 in words is "fifty-six billion, nine hundred eighteen million, five hundred seven thousand, seven hundred seventy-six".