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12107861952 = 263312211311
BaseRepresentation
bin10110100011010111…
…10100111111000000
31011020211002010010120
423101223310333000
5144244103040302
65321241300240
7606021062034
oct132153647700
934224063116
1012107861952
11515363298a
12241aa94680
1311ac5cb974
1482c0981c4
154ace799bc
hex2d1af4fc0

12107861952 has 168 divisors, whose sum is σ = 33365943936. Its totient is φ = 3874752000.

The previous prime is 12107861951. The next prime is 12107861989. The reversal of 12107861952 is 25916870121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12107861951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38931877 + ... + 38932187.

Almost surely, 212107861952 is an apocalyptic number.

12107861952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12107861952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16682971968).

12107861952 is an abundant number, since it is smaller than the sum of its proper divisors (21258081984).

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

12107861952 is a wasteful number, since it uses less digits than its factorization.

12107861952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 42.

The spelling of 12107861952 in words is "twelve billion, one hundred seven million, eight hundred sixty-one thousand, nine hundred fifty-two".