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2139837984 = 25327429993
BaseRepresentation
bin111111110001011…
…0101011000100000
312112010111000212200
41333202311120200
513340244303414
6552200053200
7104012215464
oct17742653040
95463430780
102139837984
119a8978a49
124b8764200
13281428a2b
1416429a4a4
15c7cd6109
hex7f8b5620

2139837984 has 36 divisors (see below), whose sum is σ = 6085165086. Its totient is φ = 713279232.

The previous prime is 2139837979. The next prime is 2139838031. The reversal of 2139837984 is 4897389312.

2139837984 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1689210000 + 450627984 = 41100^2 + 21228^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2139837984.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3714709 + ... + 3715284.

Almost surely, 22139837984 is an apocalyptic number.

2139837984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2139837984 is an abundant number, since it is smaller than the sum of its proper divisors (3945327102).

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

2139837984 is a wasteful number, since it uses less digits than its factorization.

2139837984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7430009 (or 7429998 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 2139837984 is about 46258.3828511114. The cubic root of 2139837984 is about 1288.6262209527.

The spelling of 2139837984 in words is "two billion, one hundred thirty-nine million, eight hundred thirty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 7429993 14859986 22289979 29719972 44579958 59439944 66869937 89159916 118879888 133739874 178319832 237759776 267479748 356639664 534959496 713279328 1069918992 2139837984