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18327934080 = 2732531102643
BaseRepresentation
bin10001000100011011…
…100001010010000000
31202022022020112000100
4101010123201102000
5300013422342310
612230355122400
71216116604101
oct210433412200
952268215010
1018327934080
117855706165
123675ba3400
13196115bc11
14c5c1d23a8
15724083ec0
hex4446e1480

18327934080 has 192 divisors, whose sum is σ = 65330853120. Its totient is φ = 4729743360.

The previous prime is 18327934043. The next prime is 18327934129. The reversal of 18327934080 is 8043972381.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127239 + ... + 229881.

It is an arithmetic number, because the mean of its divisors is an integer number (340264860).

Almost surely, 218327934080 is an apocalyptic number.

18327934080 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 18327934080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32665426560).

18327934080 is an abundant number, since it is smaller than the sum of its proper divisors (47002919040).

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

18327934080 is a wasteful number, since it uses less digits than its factorization.

18327934080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102699 (or 102684 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 18327934080 in words is "eighteen billion, three hundred twenty-seven million, nine hundred thirty-four thousand, eighty".