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56960504896 = 26298332
BaseRepresentation
bin110101000011000111…
…000101010001000000
312110000200020110022111
4311003013011101000
51413123342124041
642100045145104
74054351205641
oct650307052100
9173020213274
1056960504896
112217a7a1439
12b057b5b194
1354a9b27b89
142a84d296c8
1517359ab981
hexd431c5440

56960504896 has 21 divisors (see below), whose sum is σ = 113034790821. Its totient is φ = 28479297792.

The previous prime is 56960504891. The next prime is 56960504911. The reversal of 56960504896 is 69840506965.

The square root of 56960504896 is 238664.

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

It can be written as a sum of positive squares in only one way, i.e., 24248718400 + 32711786496 = 155720^2 + 180864^2 .

It is a super-3 number, since 3×569605048963 (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 56960504896.

It is not an unprimeable number, because it can be changed into a prime (56960504891) 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 2 ways as a sum of consecutive naturals, for example, 1894396 + ... + 1924228.

Almost surely, 256960504896 is an apocalyptic number.

56960504896 is the 238664-th square number.

It is an amenable number.

56960504896 is a deficient number, since it is larger than the sum of its proper divisors (56074285925).

56960504896 is an frugal number, since it uses more digits than its factorization.

56960504896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59678 (or 29835 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 58.

The spelling of 56960504896 in words is "fifty-six billion, nine hundred sixty million, five hundred four thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 29833 59666 119332 238664 477328 954656 1909312 890007889 1780015778 3560031556 7120063112 14240126224 28480252448 56960504896