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57258633609 = 3220177315313
BaseRepresentation
bin110101010100111000…
…010110100110001001
312110210110012222000200
4311110320112212021
51414231202233414
642145415122413
74064631232602
oct652470264611
9173713188020
1057258633609
1122313007a01
12b11b973409
13552681bcb8
142ab2772da9
151751c4b109
hexd54e16989

57258633609 has 12 divisors (see below), whose sum is σ = 82711276596. Its totient is φ = 38170409472.

The previous prime is 57258633587. The next prime is 57258633617. The reversal of 57258633609 is 90633685275.

It is a happy number.

57258633609 is a `hidden beast` number, since 5 + 7 + 25 + 8 + 6 + 3 + 3 + 609 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45176227209 + 12082406400 = 212547^2 + 109920^2 .

It is not a de Polignac number, because 57258633609 - 25 = 57258633577 is a prime.

It is a super-2 number, since 2×572586336092 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (57258633629) 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 11 ways as a sum of consecutive naturals, for example, 23937 + ... + 339249.

It is an arithmetic number, because the mean of its divisors is an integer number (6892606383).

Almost surely, 257258633609 is an apocalyptic number.

It is an amenable number.

57258633609 is a deficient number, since it is larger than the sum of its proper divisors (25452642987).

57258633609 is a wasteful number, since it uses less digits than its factorization.

57258633609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335496 (or 335493 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 57258633609 in words is "fifty-seven billion, two hundred fifty-eight million, six hundred thirty-three thousand, six hundred nine".

Divisors: 1 3 9 20177 60531 181593 315313 945939 2837817 6362070401 19086211203 57258633609