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12638446032 = 2431783147673
BaseRepresentation
bin10111100010100111…
…10110000111010000
31012121210110120122210
423301103312013100
5201340420233112
65450033432120
7625123006302
oct136123660720
935553416583
1012638446032
1153a6089623
12254870b640
131265501844
1487c731972
154de834b3c
hex2f14f61d0

12638446032 has 40 divisors (see below), whose sum is σ = 32667851584. Its totient is φ = 4210424064.

The previous prime is 12638446013. The next prime is 12638446057. The reversal of 12638446032 is 23064483621.

12638446032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 11748 + ... + 159420.

Almost surely, 212638446032 is an apocalyptic number.

12638446032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12638446032 is an abundant number, since it is smaller than the sum of its proper divisors (20029405552).

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

12638446032 is a wasteful number, since it uses less digits than its factorization.

12638446032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149467 (or 149461 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 12638446032 in words is "twelve billion, six hundred thirty-eight million, four hundred forty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 1783 3566 5349 7132 10698 14264 21396 28528 42792 85584 147673 295346 443019 590692 886038 1181384 1772076 2362768 3544152 7088304 263300959 526601918 789902877 1053203836 1579805754 2106407672 3159611508 4212815344 6319223016 12638446032