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12169479168 = 2103271121559
BaseRepresentation
bin10110101010101101…
…11000010000000000
31011102010000121001200
423111112320100000
5144410341313133
65331322101200
7610366603050
oct132526702000
934363017050
1012169479168
115185398900
12243764a800
1311bc2c3a62
14836337560
154b359b913
hex2d55b8400

12169479168 has 396 divisors, whose sum is σ = 44170002240. Its totient is φ = 3158876160.

The previous prime is 12169479131. The next prime is 12169479187. The reversal of 12169479168 is 86197496121.

12169479168 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 9 + 479 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (396).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7805173 + ... + 7806731.

Almost surely, 212169479168 is an apocalyptic number.

12169479168 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 12169479168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22085001120).

12169479168 is an abundant number, since it is smaller than the sum of its proper divisors (32000523072).

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

12169479168 is a wasteful number, since it uses less digits than its factorization.

12169479168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614 (or 1582 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The spelling of 12169479168 in words is "twelve billion, one hundred sixty-nine million, four hundred seventy-nine thousand, one hundred sixty-eight".