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56800831617 = 3241153931793
BaseRepresentation
bin110100111001100101…
…111110100010000001
312102121112210012202100
4310321211332202001
51412312003102432
642032142541013
74050402050115
oct647145764201
9172545705670
1056800831617
11220a8652552
12b012597769
135482a2004a
142a6ba43745
15172696b07c
hexd3997e881

56800831617 has 12 divisors (see below), whose sum is σ = 84046759524. Its totient is φ = 36943630080.

The previous prime is 56800831601. The next prime is 56800831649. The reversal of 56800831617 is 71613800865.

56800831617 is a `hidden beast` number, since 568 + 0 + 0 + 83 + 1 + 6 + 1 + 7 = 666.

56800831617 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10289870721 + 46510960896 = 101439^2 + 215664^2 .

It is not a de Polignac number, because 56800831617 - 24 = 56800831601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (56800831667) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76965528 + ... + 76966265.

It is an arithmetic number, because the mean of its divisors is an integer number (7003896627).

Almost surely, 256800831617 is an apocalyptic number.

It is an amenable number.

56800831617 is a deficient number, since it is larger than the sum of its proper divisors (27245927907).

56800831617 is a wasteful number, since it uses less digits than its factorization.

56800831617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153931840 (or 153931837 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 56800831617 in words is "fifty-six billion, eight hundred million, eight hundred thirty-one thousand, six hundred seventeen".

Divisors: 1 3 9 41 123 369 153931793 461795379 1385386137 6311203513 18933610539 56800831617