Search a number
-
+
18448880112 = 2434137983167
BaseRepresentation
bin10001001011101000…
…111001000111110000
31202121201211012210000
4101023220321013300
5300240403130422
612250355310000
71222115615325
oct211350710760
952551735700
1018448880112
117907a03763
1236aa5ab300
131980227610
14c702b6b4c
1572e9c4cac
hex44ba391f0

18448880112 has 400 divisors, whose sum is σ = 59286205440. Its totient is φ = 5504039424.

The previous prime is 18448880111. The next prime is 18448880137. The reversal of 18448880112 is 21108884481.

18448880112 is a `hidden beast` number, since 1 + 84 + 488 + 80 + 1 + 12 = 666.

It is a super-2 number, since 2×184488801122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18448880111) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 110472253 + ... + 110472419.

Almost surely, 218448880112 is an apocalyptic number.

18448880112 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 18448880112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29643102720).

18448880112 is an abundant number, since it is smaller than the sum of its proper divisors (40837325328).

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

18448880112 is a wasteful number, since it uses less digits than its factorization.

18448880112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 45.

The spelling of 18448880112 in words is "eighteen billion, four hundred forty-eight million, eight hundred eighty thousand, one hundred twelve".