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2137408281 = 32598348497
BaseRepresentation
bin111111101100110…
…0100001100011001
312111221220120221200
41333121210030121
513334134031111
6552032024413
7103652446011
oct17731441431
95457816850
102137408281
119a7569528
124b7992109
13280a87b38
14163c26c41
15c79a6256
hex7f664319

2137408281 has 24 divisors (see below), whose sum is σ = 3177588960. Its totient is φ = 1383881856.

The previous prime is 2137408277. The next prime is 2137408297. The reversal of 2137408281 is 1828047312.

2137408281 is a `hidden beast` number, since 2 + 1 + 374 + 0 + 8 + 281 = 666.

It is not a de Polignac number, because 2137408281 - 22 = 2137408277 is a prime.

It is a super-2 number, since 2×21374082812 = 9137028319374749922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2137408201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19825 + ... + 68321.

It is an arithmetic number, because the mean of its divisors is an integer number (132399540).

Almost surely, 22137408281 is an apocalyptic number.

It is an amenable number.

2137408281 is a deficient number, since it is larger than the sum of its proper divisors (1040180679).

2137408281 is a wasteful number, since it uses less digits than its factorization.

2137408281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48645 (or 48642 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2137408281 is about 46232.1130925248. The cubic root of 2137408281 is about 1288.1383078799.

The spelling of 2137408281 in words is "two billion, one hundred thirty-seven million, four hundred eight thousand, two hundred eighty-one".

Divisors: 1 3 9 59 83 177 249 531 747 4897 14691 44073 48497 145491 436473 2861323 4025251 8583969 12075753 25751907 36227259 237489809 712469427 2137408281