Search a number
-
+
18934272000 = 21232537587
BaseRepresentation
bin10001101000100100…
…100001000000000000
31210212120011200021100
4101220210201000000
5302234133201000
612410455054400
71240131441120
oct215044410000
953776150240
1018934272000
1180369a2886
123805071400
131a29966557
14cb8948c80
1575c404a00
hex468921000

18934272000 has 624 divisors, whose sum is σ = 78139780992. Its totient is φ = 4320460800.

The previous prime is 18934271959. The next prime is 18934272011. The reversal of 18934272000 is 27243981.

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

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, 32255707 + ... + 32256293.

It is an arithmetic number, because the mean of its divisors is an integer number (125224008).

Almost surely, 218934272000 is an apocalyptic number.

18934272000 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 18934272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39069890496).

18934272000 is an abundant number, since it is smaller than the sum of its proper divisors (59205508992).

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

18934272000 is an equidigital number, since it uses as much as digits as its factorization.

18934272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 18934272000 in words is "eighteen billion, nine hundred thirty-four million, two hundred seventy-two thousand".