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12163350960 = 2433531373487
BaseRepresentation
bin10110101001111111…
…00000000110110000
31011101200111020202000
423110333200012300
5144402304212320
65330542454000
7610263530415
oct132477400660
934350436660
1012163350960
115181992672
122435594300
1311bac595b7
148355c010c
154b2c8ac90
hex2d4fe01b0

12163350960 has 320 divisors, whose sum is σ = 43452456960. Its totient is φ = 3124085760.

The previous prime is 12163350931. The next prime is 12163350967. The reversal of 12163350960 is 6905336121.

12163350960 is a `hidden beast` number, since 1 + 216 + 3 + 350 + 96 + 0 = 666.

It is a super-2 number, since 2×121633509602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12163350967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24975837 + ... + 24976323.

It is an arithmetic number, because the mean of its divisors is an integer number (135788928).

Almost surely, 212163350960 is an apocalyptic number.

12163350960 is a gapful number since it is divisible by the number (10) 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 12163350960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21726228480).

12163350960 is an abundant number, since it is smaller than the sum of its proper divisors (31289106000).

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

12163350960 is a wasteful number, since it uses less digits than its factorization.

12163350960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 12163350960 in words is "twelve billion, one hundred sixty-three million, three hundred fifty thousand, nine hundred sixty".