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56055297600 = 26325219732
BaseRepresentation
bin110100001101001001…
…111111011001000000
312100200120221011100100
4310031021333121000
51404300124010400
641430151322400
74023050111421
oct641511773100
9170616834310
1056055297600
1121855832835
12aa44980400
13539442a263
1429daa15648
1516d12a2100
hexd0d27f640

56055297600 has 189 divisors, whose sum is σ = 199334794243. Its totient is φ = 14940503040.

The previous prime is 56055297593. The next prime is 56055297601. The reversal of 56055297600 is 679255065.

The square root of 56055297600 is 236760.

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

56055297600 is a `hidden beast` number, since 5 + 6 + 0 + 552 + 97 + 6 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10389317184 + 45665980416 = 101928^2 + 213696^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (56055297601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 28410214 + ... + 28412186.

Almost surely, 256055297600 is an apocalyptic number.

56055297600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56055297600 is the 236760-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56055297600

56055297600 is an abundant number, since it is smaller than the sum of its proper divisors (143279496643).

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

56055297600 is an equidigital number, since it uses as much as digits as its factorization.

56055297600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3974 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 56055297600 in words is "fifty-six billion, fifty-five million, two hundred ninety-seven thousand, six hundred".