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18328320000 = 21132543743
BaseRepresentation
bin10001000100011100…
…111111100000000000
31202022022222010101200
4101010130333200000
5300014022220000
612230411301200
71216123102164
oct210434774000
952268863350
1018328320000
11785594a101
12367614a800
131961265783
14c5c292ca4
1572410d500
hex44473f800

18328320000 has 720 divisors, whose sum is σ = 69515966520. Its totient is φ = 4644864000.

The previous prime is 18328319993. The next prime is 18328320001. The reversal of 18328320000 is 2382381.

18328320000 is a `hidden beast` number, since 18 + 328 + 320 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18328320001) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 426239979 + ... + 426240021.

Almost surely, 218328320000 is an apocalyptic number.

18328320000 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 18328320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34757983260).

18328320000 is an abundant number, since it is smaller than the sum of its proper divisors (51187646520).

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

18328320000 is an equidigital number, since it uses as much as digits as its factorization.

18328320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 18328320000 in words is "eighteen billion, three hundred twenty-eight million, three hundred twenty thousand".