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56495585344 = 26112372732
BaseRepresentation
bin110100100111011001…
…100011100001000000
312101211021102002120211
4310213121203201000
51411200332212334
641542000243504
74040004360232
oct644731434100
9171737362524
1056495585344
1121a61315500
12ab48310594
135434706353
142a3d2a6252
151709c72a64
hexd27663840

56495585344 has 189 divisors, whose sum is σ = 128405736711. Its totient is φ = 24643491840.

The previous prime is 56495585317. The next prime is 56495585449. The reversal of 56495585344 is 44358559465.

It is a happy number.

The square root of 56495585344 is 237688.

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 14092538944 + 42403046400 = 118712^2 + 205920^2 .

It is a super-2 number, since 2×564955853442 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 773912092 + ... + 773912164.

Almost surely, 256495585344 is an apocalyptic number.

56495585344 is the 237688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56495585344

56495585344 is an abundant number, since it is smaller than the sum of its proper divisors (71910151367).

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

56495585344 is an equidigital number, since it uses as much as digits as its factorization.

56495585344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 123 counting only the distinct ones).

The product of its digits is 51840000, while the sum is 58.

The spelling of 56495585344 in words is "fifty-six billion, four hundred ninety-five million, five hundred eighty-five thousand, three hundred forty-four".