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12163408992 = 25327314147101
BaseRepresentation
bin10110101001111111…
…01110010001100000
31011101200121012100100
423110333232101200
5144402313041432
65330544022400
7610264161540
oct132477562140
934350535310
1012163408992
115181a22229
122435601a00
1311bac79b37
148355d7320
154b2c9d07c
hex2d4fee460

12163408992 has 576 divisors, whose sum is σ = 43113627648. Its totient is φ = 3179520000.

The previous prime is 12163408979. The next prime is 12163409053. The reversal of 12163408992 is 29980436121.

12163408992 is a `hidden beast` number, since 1 + 2 + 1 + 634 + 0 + 8 + 9 + 9 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 120429742 + ... + 120429842.

It is an arithmetic number, because the mean of its divisors is an integer number (74850048).

Almost surely, 212163408992 is an apocalyptic number.

12163408992 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 12163408992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21556813824).

12163408992 is an abundant number, since it is smaller than the sum of its proper divisors (30950218656).

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

12163408992 is a wasteful number, since it uses less digits than its factorization.

12163408992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 12163408992 in words is "twelve billion, one hundred sixty-three million, four hundred eight thousand, nine hundred ninety-two".