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2137318065 = 3251014211117
BaseRepresentation
bin111111101100100…
…1110001010110001
312111221202000012100
41333121032022301
513334123134230
6552030051013
7103651622001
oct17731161261
95457660170
102137318065
119a7507773
124b7949a69
13280a55a5c
14163c02001
15c7989660
hex7f64e2b1

2137318065 has 48 divisors (see below), whose sum is σ = 3753608976. Its totient is φ = 1124928000.

The previous prime is 2137318063. The next prime is 2137318109. The reversal of 2137318065 is 5608137312.

It can be written as a sum of positive squares in 8 ways, for example, as 359936784 + 1777381281 = 18972^2 + 42159^2 .

It is not a de Polignac number, because 2137318065 - 21 = 2137318063 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2137318063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1912887 + ... + 1914003.

It is an arithmetic number, because the mean of its divisors is an integer number (78200187).

Almost surely, 22137318065 is an apocalyptic number.

It is an amenable number.

2137318065 is a deficient number, since it is larger than the sum of its proper divisors (1616290911).

2137318065 is a wasteful number, since it uses less digits than its factorization.

2137318065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2137318065 is about 46231.1373967805. The cubic root of 2137318065 is about 1288.1201843232.

The spelling of 2137318065 in words is "two billion, one hundred thirty-seven million, three hundred eighteen thousand, sixty-five".

Divisors: 1 3 5 9 15 45 101 303 421 505 909 1117 1263 1515 2105 3351 3789 4545 5585 6315 10053 16755 18945 42521 50265 112817 127563 212605 338451 382689 470257 564085 637815 1015353 1410771 1692255 1913445 2351285 4232313 5076765 7053855 21161565 47495957 142487871 237479785 427463613 712439355 2137318065