Search a number
-
+
18714187008 = 28321167103107
BaseRepresentation
bin10001011011011100…
…111101010100000000
31210022020001012102100
4101123130331110000
5301311312441013
612332553550400
71231516651656
oct213334752400
953266035370
1018714187008
117a33741760
123763415400
1319c319924a
14c97618dd6
15747e2e473
hex45b73d500

18714187008 has 432 divisors, whose sum is σ = 60885167616. Its totient is φ = 5480386560.

The previous prime is 18714187007. The next prime is 18714187013. The reversal of 18714187008 is 80078141781.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18714187007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174898891 + ... + 174898997.

It is an arithmetic number, because the mean of its divisors is an integer number (140937888).

Almost surely, 218714187008 is an apocalyptic number.

18714187008 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 18714187008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30442583808).

18714187008 is an abundant number, since it is smaller than the sum of its proper divisors (42170980608).

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

18714187008 is a wasteful number, since it uses less digits than its factorization.

18714187008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 45.

The spelling of 18714187008 in words is "eighteen billion, seven hundred fourteen million, one hundred eighty-seven thousand, eight".