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18940160880 = 2433537269881
BaseRepresentation
bin10001101000111010…
…111110101101110000
31210212222020212022000
4101220322332231300
5302242140122010
612411225214000
71240232465634
oct215072765560
953788225260
1018940160880
11803a255223
123807031300
131a2ac48ab4
14cb963cdc4
1575cbb97c0
hex468ebeb70

18940160880 has 320 divisors, whose sum is σ = 67326940800. Its totient is φ = 4890378240.

The previous prime is 18940160857. The next prime is 18940160881. The reversal of 18940160880 is 8806104981.

18940160880 is a `hidden beast` number, since 189 + 401 + 60 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18940160881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21498040 + ... + 21498920.

It is an arithmetic number, because the mean of its divisors is an integer number (210396690).

Almost surely, 218940160880 is an apocalyptic number.

18940160880 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 18940160880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33663470400).

18940160880 is an abundant number, since it is smaller than the sum of its proper divisors (48386779920).

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

18940160880 is a wasteful number, since it uses less digits than its factorization.

18940160880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 18940160880 in words is "eighteen billion, nine hundred forty million, one hundred sixty thousand, eight hundred eighty".