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163118145960 = 2332571110357131
BaseRepresentation
bin1001011111101010011…
…0010110000110101000
3120121000222120101010100
42113322212112012220
510133031221132320
6202534015545400
714533135235520
oct2277246260650
9517028511110
10163118145960
11631a5a393a0
1227743b2b260
13124c72791c3
147c75ab2680
15439a5bc790
hex25fa9961a8

163118145960 has 384 divisors, whose sum is σ = 667374888960. Its totient is φ = 33565017600.

The previous prime is 163118145913. The next prime is 163118145977. The reversal of 163118145960 is 69541811361.

163118145960 is a `hidden beast` number, since 1 + 6 + 31 + 18 + 14 + 596 + 0 = 666.

163118145960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2826595 + ... + 2883725.

It is an arithmetic number, because the mean of its divisors is an integer number (1737955440).

Almost surely, 2163118145960 is an apocalyptic number.

163118145960 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 163118145960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333687444480).

163118145960 is an abundant number, since it is smaller than the sum of its proper divisors (504256743000).

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

163118145960 is a wasteful number, since it uses less digits than its factorization.

163118145960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57269 (or 57262 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 163118145960 in words is "one hundred sixty-three billion, one hundred eighteen million, one hundred forty-five thousand, nine hundred sixty".