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42657316165 = 56110111531201
BaseRepresentation
bin100111101110100100…
…101111110101000101
311002002212021011222201
4213232210233311011
51144330233104130
631332502154501
73040042130152
oct475644576505
9132085234881
1042657316165
11170aaa41002
128325a22a31
13403a7729a9
1420c948d229
151199e39bca
hex9ee92fd45

42657316165 has 32 divisors (see below), whose sum is σ = 52632425952. Its totient is φ = 33177600000.

The previous prime is 42657316159. The next prime is 42657316189. The reversal of 42657316165 is 56161375624.

It can be written as a sum of positive squares in 16 ways, for example, as 17287516324 + 25369799841 = 131482^2 + 159279^2 .

It is not a de Polignac number, because 42657316165 - 235 = 8297577797 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35517565 + ... + 35518765.

It is an arithmetic number, because the mean of its divisors is an integer number (1644763311).

Almost surely, 242657316165 is an apocalyptic number.

It is an amenable number.

42657316165 is a deficient number, since it is larger than the sum of its proper divisors (9975109787).

42657316165 is a wasteful number, since it uses less digits than its factorization.

42657316165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2521.

The product of its digits is 907200, while the sum is 46.

The spelling of 42657316165 in words is "forty-two billion, six hundred fifty-seven million, three hundred sixteen thousand, one hundred sixty-five".

Divisors: 1 5 61 101 305 505 1153 1201 5765 6005 6161 30805 70333 73261 116453 121301 351665 366305 582265 606505 1384753 6923765 7103633 7399361 35518165 36996805 84469933 139860053 422349665 699300265 8531463233 42657316165