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56778760192 = 21373112167
BaseRepresentation
bin110100111000010001…
…110010000000000000
312102120000020212110011
4310320101302000000
51412240330311232
642030033514304
74050013333000
oct647021620000
9172500225404
1056778760192
1122097147a00
12b007112994
13547b292b2b
142a68b3a000
151724a5b547
hexd38472000

56778760192 has 336 divisors, whose sum is σ = 146424700800. Its totient is φ = 21989130240.

The previous prime is 56778760189. The next prime is 56778760201. The reversal of 56778760192 is 29106787765.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 339992493 + ... + 339992659.

It is an arithmetic number, because the mean of its divisors is an integer number (435787800).

Almost surely, 256778760192 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 56778760192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73212350400).

56778760192 is an abundant number, since it is smaller than the sum of its proper divisors (89645940608).

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

56778760192 is an equidigital number, since it uses as much as digits as its factorization.

56778760192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 58.

The spelling of 56778760192 in words is "fifty-six billion, seven hundred seventy-eight million, seven hundred sixty thousand, one hundred ninety-two".