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18006008832 = 210337213291
BaseRepresentation
bin10000110001001111…
…011110010000000000
31201110212111000121000
4100301033132100000
5243334014240312
612134415132000
71205130356400
oct206117362000
951425430530
1018006008832
1176aaa16a39
1235a6214000
13190c5555c6
14c2b552800
15705b93adc
hex4313de400

18006008832 has 264 divisors, whose sum is σ = 62035890720. Its totient is φ = 5144186880.

The previous prime is 18006008807. The next prime is 18006008851. The reversal of 18006008832 is 23880060081.

18006008832 is a `hidden beast` number, since 18 + 0 + 0 + 600 + 8 + 8 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1348107 + ... + 1361397.

Almost surely, 218006008832 is an apocalyptic number.

18006008832 is a gapful number since it is divisible by the number (12) 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 18006008832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31017945360).

18006008832 is an abundant number, since it is smaller than the sum of its proper divisors (44029881888).

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

18006008832 is a wasteful number, since it uses less digits than its factorization.

18006008832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13334 (or 13303 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 18006008832 in words is "eighteen billion, six million, eight thousand, eight hundred thirty-two".