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2137682437 = 112376912
BaseRepresentation
bin111111101101010…
…0111001000000101
312111222102112000121
41333122213020011
513334221314222
6552041541541
7103655000212
oct17732471005
95458375017
102137682437
119a7736500
124b7aa48b1
13280b52867
14163c98b09
15c7a0c5c7
hex7f6a7205

2137682437 has 18 divisors (see below), whose sum is σ = 2416686342. Its totient is φ = 1888088400.

The previous prime is 2137682429. The next prime is 2137682441. The reversal of 2137682437 is 7342867312.

It can be written as a sum of positive squares in only one way, i.e., 2079907236 + 57775201 = 45606^2 + 7601^2 .

It is not a de Polignac number, because 2137682437 - 23 = 2137682429 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2137682393 and 2137682402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137682467) 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 17 ways as a sum of consecutive naturals, for example, 3093262 + ... + 3093952.

Almost surely, 22137682437 is an apocalyptic number.

It is an amenable number.

2137682437 is a deficient number, since it is larger than the sum of its proper divisors (279003905).

2137682437 is an frugal number, since it uses more digits than its factorization.

2137682437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 739 counting only the distinct ones).

The product of its digits is 338688, while the sum is 43.

The square root of 2137682437 is about 46235.0779927968. The cubic root of 2137682437 is about 1288.1933801453.

The spelling of 2137682437 in words is "two billion, one hundred thirty-seven million, six hundred eighty-two thousand, four hundred thirty-seven".

Divisors: 1 11 37 121 407 691 4477 7601 25567 83611 281237 477481 3093607 5252291 17666797 57775201 194334767 2137682437