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56598894001 = 13149173168901
BaseRepresentation
bin110100101101100011…
…101001010110110001
312102002110210201102101
4310231203221112301
51411403304102001
642000130420401
74042400442526
oct645543512661
9172073721371
1056598894001
1122004666861
12ab76a31701
13544cc37b30
142a4ccb914d
151713d7ca01
hexd2d8e95b1

56598894001 has 16 divisors (see below), whose sum is σ = 61716790800. Its totient is φ = 51594220800.

The previous prime is 56598893999. The next prime is 56598894031. The reversal of 56598894001 is 10049889565.

It can be written as a sum of positive squares in 8 ways, for example, as 104976 + 56598789025 = 324^2 + 237905^2 .

It is a cyclic number.

It is not a de Polignac number, because 56598894001 - 21 = 56598893999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (56598894031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250651 + ... + 419551.

It is an arithmetic number, because the mean of its divisors is an integer number (3857299425).

Almost surely, 256598894001 is an apocalyptic number.

It is an amenable number.

56598894001 is a deficient number, since it is larger than the sum of its proper divisors (5117896799).

56598894001 is a wasteful number, since it uses less digits than its factorization.

56598894001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169236.

The product of its (nonzero) digits is 3110400, while the sum is 55.

The spelling of 56598894001 in words is "fifty-six billion, five hundred ninety-eight million, eight hundred ninety-four thousand, one".

Divisors: 1 13 149 173 1937 2249 25777 168901 335101 2195713 25166249 29219873 327161237 379858349 4353761077 56598894001