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12113368992 = 2533107283463
BaseRepresentation
bin10110100100000001…
…10101011110100000
31011021012102220101000
423102000311132200
5144302010301432
65321555312000
7606115636404
oct132200653640
934235386330
1012113368992
11515675445a
1224208ab600
1311b07a947a
1482cacd104
154ad6b657c
hex2d20357a0

12113368992 has 192 divisors, whose sum is σ = 35864156160. Its totient is φ = 3977309952.

The previous prime is 12113368979. The next prime is 12113369017. The reversal of 12113368992 is 29986331121.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26162553 + ... + 26163015.

It is an arithmetic number, because the mean of its divisors is an integer number (186792480).

Almost surely, 212113368992 is an apocalyptic number.

12113368992 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 12113368992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17932078080).

12113368992 is an abundant number, since it is smaller than the sum of its proper divisors (23750787168).

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

12113368992 is a wasteful number, since it uses less digits than its factorization.

12113368992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 858 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The spelling of 12113368992 in words is "twelve billion, one hundred thirteen million, three hundred sixty-eight thousand, nine hundred ninety-two".