Search a number
-
+
18168632832 = 293747157229
BaseRepresentation
bin10000111010111011…
…110101011000000000
31201220012111011210010
4100322323311120000
5244202132222312
612202504504520
71212143555010
oct207273653000
951805434703
1018168632832
1177837a0839
12363077b140
13193715451c
14c44da5c40
157150b893c
hex43aef5600

18168632832 has 320 divisors, whose sum is σ = 57102059520. Its totient is φ = 5026185216.

The previous prime is 18168632831. The next prime is 18168632843. The reversal of 18168632832 is 23823686181.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18168632831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79338894 + ... + 79339122.

It is an arithmetic number, because the mean of its divisors is an integer number (178443936).

Almost surely, 218168632832 is an apocalyptic number.

18168632832 is a gapful number since it is divisible by the number (12) 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 18168632832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28551029760).

18168632832 is an abundant number, since it is smaller than the sum of its proper divisors (38933426688).

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

18168632832 is a wasteful number, since it uses less digits than its factorization.

18168632832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 445 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The spelling of 18168632832 in words is "eighteen billion, one hundred sixty-eight million, six hundred thirty-two thousand, eight hundred thirty-two".