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2137984048 = 241277104639
BaseRepresentation
bin111111101101111…
…0000110000110000
312111222222211202101
41333123300300300
513334310442143
6552052230144
7103660364434
oct17733606060
95458884671
102137984048
119a7922072
124b800b354
13280c29c25
14163d369c4
15c7a6bb4d
hex7f6f0c30

2137984048 has 20 divisors (see below), whose sum is σ = 4145627520. Its totient is φ = 1068144704.

The previous prime is 2137984027. The next prime is 2137984091. The reversal of 2137984048 is 8404897312.

It is a junction number, because it is equal to n+sod(n) for n = 2137983989 and 2137984007.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 31888 + ... + 72751.

It is an arithmetic number, because the mean of its divisors is an integer number (207281376).

Almost surely, 22137984048 is an apocalyptic number.

It is an amenable number.

2137984048 is a deficient number, since it is larger than the sum of its proper divisors (2007643472).

2137984048 is a wasteful number, since it uses less digits than its factorization.

2137984048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105924 (or 105918 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The square root of 2137984048 is about 46238.3395895657. The cubic root of 2137984048 is about 1288.2539621125.

The spelling of 2137984048 in words is "two billion, one hundred thirty-seven million, nine hundred eighty-four thousand, forty-eight".

Divisors: 1 2 4 8 16 1277 2554 5108 10216 20432 104639 209278 418556 837112 1674224 133624003 267248006 534496012 1068992024 2137984048