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2137598965 = 537113102253
BaseRepresentation
bin111111101101001…
…0010101111110101
312111222021021112001
41333122102233311
513334211131330
6552040055301
7103654201645
oct17732225765
95458237461
102137598965
119a7689817
124b7a64531
13280b23878
14163c76525
15c79e29ca
hex7f692bf5

2137598965 has 16 divisors (see below), whose sum is σ = 2657785968. Its totient is φ = 1649120256.

The previous prime is 2137598951. The next prime is 2137598977. The reversal of 2137598965 is 5698957312.

It can be written as a sum of positive squares in 8 ways, for example, as 17825284 + 2119773681 = 4222^2 + 46041^2 .

It is a cyclic number.

It is not a de Polignac number, because 2137598965 - 211 = 2137596917 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 15 ways as a sum of consecutive naturals, for example, 30222 + ... + 72031.

It is an arithmetic number, because the mean of its divisors is an integer number (166111623).

Almost surely, 22137598965 is an apocalyptic number.

It is an amenable number.

2137598965 is a deficient number, since it is larger than the sum of its proper divisors (520187003).

2137598965 is a wasteful number, since it uses less digits than its factorization.

2137598965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102408.

The product of its digits is 4082400, while the sum is 55.

The square root of 2137598965 is about 46234.1752927421. The cubic root of 2137598965 is about 1288.1766128469.

The spelling of 2137598965 in words is "two billion, one hundred thirty-seven million, five hundred ninety-eight thousand, nine hundred sixty-five".

Divisors: 1 5 37 113 185 565 4181 20905 102253 511265 3783361 11554589 18916805 57772945 427519793 2137598965