Search a number
-
+
18047662080 = 211357234189
BaseRepresentation
bin10000110011101110…
…010111100000000000
31201120202212020002220
4100303232113200000
5243430200141310
612142504011040
71206144411420
oct206356274000
951522766086
1018047662080
117721486708
1235b8160a80
13191807a7b6
14c32cb6480
15709670670
hex433b97800

18047662080 has 768 divisors, whose sum is σ = 71327692800. Its totient is φ = 3806330880.

The previous prime is 18047662049. The next prime is 18047662109. The reversal of 18047662080 is 8026674081.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 202782676 + ... + 202782764.

It is an arithmetic number, because the mean of its divisors is an integer number (92874600).

Almost surely, 218047662080 is an apocalyptic number.

18047662080 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 18047662080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35663846400).

18047662080 is an abundant number, since it is smaller than the sum of its proper divisors (53280030720).

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

18047662080 is a wasteful number, since it uses less digits than its factorization.

18047662080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

It can be divided in two parts, 180476 and 62080, that added together give a triangular number (242556 = T696).

The spelling of 18047662080 in words is "eighteen billion, forty-seven million, six hundred sixty-two thousand, eighty".