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12107386944 = 2632172353759
BaseRepresentation
bin10110100011010100…
…00001000001000000
31011020210011222112200
423101222001001000
5144243442340234
65321223153200
7606014043132
oct132152010100
934223158480
1012107386944
115153339014
12241a8a5800
1311ac4936b3
1482bdb3052
154acdd3d99
hex2d1a81040

12107386944 has 168 divisors, whose sum is σ = 38343352320. Its totient is φ = 3633180672.

The previous prime is 12107386909. The next prime is 12107386981. The reversal of 12107386944 is 44968370121.

It is a super-2 number, since 2×121073869442 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12107386944.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198337 + ... + 252095.

It is an arithmetic number, because the mean of its divisors is an integer number (228234240).

Almost surely, 212107386944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12107386944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19171676160).

12107386944 is an abundant number, since it is smaller than the sum of its proper divisors (26235965376).

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

12107386944 is a wasteful number, since it uses less digits than its factorization.

12107386944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53817 (or 53804 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 12107386944 in words is "twelve billion, one hundred seven million, three hundred eighty-six thousand, nine hundred forty-four".