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18163975680 = 293351913831
BaseRepresentation
bin10000111010101010…
…000100011000000000
31201212212201120101000
4100322222010120000
5244144434210210
612202221012000
71212056150214
oct207252043000
951785646330
1018163975680
1177810aa854
12362b0b4000
1319361b3806
14c44512944
15714998ac0
hex43aa84600

18163975680 has 320 divisors, whose sum is σ = 67920652800. Its totient is φ = 4588462080.

The previous prime is 18163975651. The next prime is 18163975691. The reversal of 18163975680 is 8657936181.

18163975680 is a `hidden beast` number, since 18 + 1 + 63 + 9 + 7 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1306365 + ... + 1320195.

It is an arithmetic number, because the mean of its divisors is an integer number (212252040).

Almost surely, 218163975680 is an apocalyptic number.

18163975680 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 18163975680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33960326400).

18163975680 is an abundant number, since it is smaller than the sum of its proper divisors (49756677120).

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

18163975680 is a wasteful number, since it uses less digits than its factorization.

18163975680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13882 (or 13860 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 18163975680 in words is "eighteen billion, one hundred sixty-three million, nine hundred seventy-five thousand, six hundred eighty".