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56577741344 = 2517269386629
BaseRepresentation
bin110100101100010010…
…111101001000100000
312102001000000001102122
4310230102331020200
51411332400210334
641554053203412
74042022603135
oct645422751040
9172030001378
1056577741344
1121aa3729523
12ab6b930568
13544873cb77
142a4a17058c
1517120a032e
hexd2c4bd220

56577741344 has 48 divisors (see below), whose sum is σ = 118378373400. Its totient is φ = 26525773824.

The previous prime is 56577741317. The next prime is 56577741373. The reversal of 56577741344 is 44314777565.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 34499347600 + 22078393744 = 185740^2 + 148588^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46979 + ... + 339650.

Almost surely, 256577741344 is an apocalyptic number.

It is an amenable number.

56577741344 is an abundant number, since it is smaller than the sum of its proper divisors (61800632056).

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

56577741344 is a wasteful number, since it uses less digits than its factorization.

56577741344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386925 (or 386917 counting only the distinct ones).

The product of its digits is 9878400, while the sum is 53.

The spelling of 56577741344 in words is "fifty-six billion, five hundred seventy-seven million, seven hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 269 272 538 544 1076 2152 4304 4573 8608 9146 18292 36584 73168 146336 386629 773258 1546516 3093032 6186064 6572693 12372128 13145386 26290772 52581544 104003201 105163088 208006402 210326176 416012804 832025608 1664051216 1768054417 3328102432 3536108834 7072217668 14144435336 28288870672 56577741344