Search a number
-
+
18023675904 = 211331325073
BaseRepresentation
bin10000110010010010…
…110111100000000000
31201112002201121021000
4100302102313200000
5243403030112104
612140245532000
71205433501033
oct206222674000
951462647230
1018023675904
117709993523
1235b0114000
1319130ccbb0
14c2da3101a
157074d3639
hex4324b7800

18023675904 has 192 divisors, whose sum is σ = 57499696800. Its totient is φ = 5545525248.

The previous prime is 18023675903. The next prime is 18023675911. The reversal of 18023675904 is 40957632081.

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

It is a self number, because there is not a number n which added to its sum of digits gives 18023675904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18023675903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 706312 + ... + 731384.

It is a 1-persistent number, because it is pandigital, but 2⋅18023675904 = 36047351808 is not.

Almost surely, 218023675904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18023675904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28749848400).

18023675904 is an abundant number, since it is smaller than the sum of its proper divisors (39476020896).

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

18023675904 is a wasteful number, since it uses less digits than its factorization.

18023675904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25117 (or 25091 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 18023675904 in words is "eighteen billion, twenty-three million, six hundred seventy-five thousand, nine hundred four".