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2137313466 = 23413193293
BaseRepresentation
bin111111101100100…
…1101000010111010
312111221201202220000
41333121031002322
513334123012331
6552030013430
7103651602411
oct17731150272
95457652800
102137313466
119a7504272
124b7947276
13280a53932
14163c00478
15c79880e6
hex7f64d0ba

2137313466 has 20 divisors (see below), whose sum is σ = 4789165722. Its totient is φ = 712437768.

The previous prime is 2137313461. The next prime is 2137313471. The reversal of 2137313466 is 6643137312.

It is an interprime number because it is at equal distance from previous prime (2137313461) and next prime (2137313471).

It can be written as a sum of positive squares in only one way, i.e., 2091141441 + 46172025 = 45729^2 + 6795^2 .

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 2137313466.

It is not an unprimeable number, because it can be changed into a prime (2137313461) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6596485 + ... + 6596808.

Almost surely, 22137313466 is an apocalyptic number.

2137313466 is an abundant number, since it is smaller than the sum of its proper divisors (2651852256).

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

2137313466 is a wasteful number, since it uses less digits than its factorization.

2137313466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13193307 (or 13193298 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 2137313466 is about 46231.0876575492. The cubic root of 2137313466 is about 1288.1192604131.

The spelling of 2137313466 in words is "two billion, one hundred thirty-seven million, three hundred thirteen thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 13193293 26386586 39579879 79159758 118739637 237479274 356218911 712437822 1068656733 2137313466