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12163922208 = 25321971131239
BaseRepresentation
bin10110101010000011…
…01011100100100000
31011101201120021100100
423111001223210200
5144402431002313
65331003022400
7610301430024
oct132501534440
934351507310
1012163922208
115182242879
12243580aa00
1311bb0c9609
148356cc384
154b2d50173
hex2d506b920

12163922208 has 288 divisors, whose sum is σ = 37362124800. Its totient is φ = 3742502400.

The previous prime is 12163922191. The next prime is 12163922231. The reversal of 12163922208 is 80222936121.

It is a happy number.

12163922208 is a `hidden beast` number, since 12 + 1 + 639 + 2 + 2 + 2 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×121639222082 (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50894953 + ... + 50895191.

It is an arithmetic number, because the mean of its divisors is an integer number (129729600).

Almost surely, 212163922208 is an apocalyptic number.

12163922208 is a gapful number since it is divisible by the number (18) 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 12163922208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18681062400).

12163922208 is an abundant number, since it is smaller than the sum of its proper divisors (25198202592).

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

12163922208 is a wasteful number, since it uses less digits than its factorization.

12163922208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 12163922208 in words is "twelve billion, one hundred sixty-three million, nine hundred twenty-two thousand, two hundred eight".