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12163165875 = 3353741979
BaseRepresentation
bin10110101001111101…
…10010111010110011
31011101200010211212000
423110332302322303
5144402232302000
65330534505043
7610262130000
oct132476627263
934350124760
1012163165875
115181876603
122435505183
1311babc3293
148355728a7
154b2c51000
hex2d4fb2eb3

12163165875 has 320 divisors, whose sum is σ = 27965184000. Its totient is φ = 5200977600.

The previous prime is 12163165873. The next prime is 12163165879. The reversal of 12163165875 is 57856136121.

12163165875 is a `hidden beast` number, since 1 + 2 + 1 + 63 + 1 + 6 + 587 + 5 = 666.

It is not a de Polignac number, because 12163165875 - 21 = 12163165873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (302400) is a multiple of the sum of its prime factors (150).

It is a self number, because there is not a number n which added to its sum of digits gives 12163165875.

It is not an unprimeable number, because it can be changed into a prime (12163165871) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 153964086 + ... + 153964164.

It is an arithmetic number, because the mean of its divisors is an integer number (87391200).

Almost surely, 212163165875 is an apocalyptic number.

12163165875 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12163165875 is an abundant number, since it is smaller than the sum of its proper divisors (15802018125).

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

12163165875 is an frugal number, since it uses more digits than its factorization.

12163165875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 113 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The spelling of 12163165875 in words is "twelve billion, one hundred sixty-three million, one hundred sixty-five thousand, eight hundred seventy-five".