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18443719008 = 25331113211483
BaseRepresentation
bin10001001011010101…
…001101000101100000
31202121101010000002000
4101023111031011200
5300233043002013
612250052524000
71222024011351
oct211325150540
952541100060
1018443719008
117904aa9090
1236a8920600
13197c13b400
14c6d731d28
1572e305973
hex44b54d160

18443719008 has 288 divisors, whose sum is σ = 63551537280. Its totient is φ = 5158632960.

The previous prime is 18443718949. The next prime is 18443719079. The reversal of 18443719008 is 80091734481.

It is a happy number.

18443719008 is a `hidden beast` number, since 18 + 443 + 7 + 190 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1600435 + ... + 1611917.

It is an arithmetic number, because the mean of its divisors is an integer number (220665060).

Almost surely, 218443719008 is an apocalyptic number.

18443719008 is a gapful number since it is divisible by the number (18) 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 18443719008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31775768640).

18443719008 is an abundant number, since it is smaller than the sum of its proper divisors (45107818272).

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

18443719008 is a wasteful number, since it uses less digits than its factorization.

18443719008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11539 (or 11512 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 18443719008 in words is "eighteen billion, four hundred forty-three million, seven hundred nineteen thousand, eight".