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2137240566 = 23498313421
BaseRepresentation
bin111111101100011…
…1011001111110110
312111221121001220000
41333120323033312
513334113144231
6552024252130
7103651150026
oct17730731766
95457531800
102137240566
119a746451a
124b7911046
13280a296b6
14163bc1a86
15c79716e6
hex7f63b3f6

2137240566 has 40 divisors (see below), whose sum is σ = 4794231024. Its totient is φ = 711635760.

The previous prime is 2137240559. The next prime is 2137240597. The reversal of 2137240566 is 6650427312.

2137240566 is a `hidden beast` number, since 21 + 3 + 72 + 4 + 0 + 566 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2137240566.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 152536 + ... + 165956.

Almost surely, 22137240566 is an apocalyptic number.

2137240566 is an abundant number, since it is smaller than the sum of its proper divisors (2656990458).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2137240566 is a wasteful number, since it uses less digits than its factorization.

2137240566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14418 (or 14409 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2137240566 is about 46230.2992203165. The cubic root of 2137240566 is about 1288.1046150865.

Adding to 2137240566 its reverse (6650427312), we get a palindrome (8787667878).

The spelling of 2137240566 in words is "two billion, one hundred thirty-seven million, two hundred forty thousand, five hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 983 1966 2949 5898 8847 13421 17694 26541 26842 40263 53082 79623 80526 120789 159246 241578 362367 724734 1087101 2174202 13192843 26385686 39578529 79157058 118735587 237471174 356206761 712413522 1068620283 2137240566