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2137264542 = 23471884713
BaseRepresentation
bin111111101100100…
…0001000110011110
312111221122021210000
41333121001012132
513334114431132
6552024555130
7103651306650
oct17731010636
95457567700
102137264542
119a7480536
124b7922aa6
13280a3759a
14163bca6d0
15c797887c
hex7f64119e

2137264542 has 40 divisors (see below), whose sum is σ = 5473209456. Its totient is φ = 610646688.

The previous prime is 2137264537. The next prime is 2137264543. The reversal of 2137264542 is 2454627312.

2137264542 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 2 + 645 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2137264497 and 2137264506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137264543) 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 19 ways as a sum of consecutive naturals, for example, 941223 + ... + 943490.

Almost surely, 22137264542 is an apocalyptic number.

2137264542 is an abundant number, since it is smaller than the sum of its proper divisors (3335944914).

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

2137264542 is a wasteful number, since it uses less digits than its factorization.

2137264542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884734 (or 1884725 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 2137264542 is about 46230.5585300459. The cubic root of 2137264542 is about 1288.1094318084.

The spelling of 2137264542 in words is "two billion, one hundred thirty-seven million, two hundred sixty-four thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1134 1884713 3769426 5654139 11308278 13192991 16962417 26385982 33924834 39578973 50887251 79157946 101774502 118736919 152661753 237473838 305323506 356210757 712421514 1068632271 2137264542