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657045361 = 7213409089
BaseRepresentation
bin100111001010011…
…011011101110001
31200210100100210101
4213022123131301
52321200422421
6145110432401
722165536100
oct4712333561
91623310711
10657045361
113079809a5
12164062701
13a617ca4b
1463396037
153ca3a191
hex2729b771

657045361 has 6 divisors (see below), whose sum is σ = 764318130. Its totient is φ = 563181696.

The previous prime is 657045307. The next prime is 657045397. The reversal of 657045361 is 163540756.

It can be written as a sum of positive squares in only one way, i.e., 423536400 + 233508961 = 20580^2 + 15281^2 .

It is not a de Polignac number, because 657045361 - 213 = 657037169 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 657045361.

It is not an unprimeable number, because it can be changed into a prime (657045161) 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 5 ways as a sum of consecutive naturals, for example, 6704496 + ... + 6704593.

It is an arithmetic number, because the mean of its divisors is an integer number (127386355).

Almost surely, 2657045361 is an apocalyptic number.

It is an amenable number.

657045361 is a deficient number, since it is larger than the sum of its proper divisors (107272769).

657045361 is a wasteful number, since it uses less digits than its factorization.

657045361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13409103 (or 13409096 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The square root of 657045361 is about 25632.8960712597. The cubic root of 657045361 is about 869.3575919978.

The spelling of 657045361 in words is "six hundred fifty-seven million, forty-five thousand, three hundred sixty-one".

Divisors: 1 7 49 13409089 93863623 657045361