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2638131140 = 225941140177
BaseRepresentation
bin1001110100111110…
…1010111111000100
320210212002221120202
42131033222333010
520400330144030
61113440150032
7122242513301
oct23517527704
96725087522
102638131140
111134179a77
12617608318
13330733c58
141b052a0a8
15106913745
hex9d3eafc4

2638131140 has 24 divisors (see below), whose sum is σ = 5546002392. Its totient is φ = 1054123520.

The previous prime is 2638131113. The next prime is 2638131161. The reversal of 2638131140 is 411318362.

It can be written as a sum of positive squares in 4 ways, for example, as 130325056 + 2507806084 = 11416^2 + 50078^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51269 + ... + 88908.

It is an arithmetic number, because the mean of its divisors is an integer number (231083433).

Almost surely, 22638131140 is an apocalyptic number.

2638131140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2638131140 is an abundant number, since it is smaller than the sum of its proper divisors (2907871252).

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

2638131140 is a wasteful number, since it uses less digits than its factorization.

2638131140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141127 (or 141125 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 2638131140 is about 51362.7407757803. The cubic root of 2638131140 is about 1381.7584424118.

The spelling of 2638131140 in words is "two billion, six hundred thirty-eight million, one hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 941 1882 3764 4705 9410 18820 140177 280354 560708 700885 1401770 2803540 131906557 263813114 527626228 659532785 1319065570 2638131140