Search a number
-
+
118042168320 = 210355175581
BaseRepresentation
bin110110111101111011…
…1001000110000000000
3102021200120011110100000
41231323313020300000
53413222243341240
6130121113200000
711346123606216
oct1557367106000
9367616143300
10118042168320
11460747aa20a
121aa64100000
13b1926b579b
1459db306cb6
15310d172430
hex1b7bdc8c00

118042168320 has 528 divisors, whose sum is σ = 449192828448. Its totient is φ = 29620961280.

The previous prime is 118042168291. The next prime is 118042168451. The reversal of 118042168320 is 23861240811.

118042168320 is a `hidden beast` number, since 118 + 0 + 4 + 216 + 8 + 320 = 666.

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, 21147930 + ... + 21153510.

Almost surely, 2118042168320 is an apocalyptic number.

118042168320 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 118042168320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224596414224).

118042168320 is an abundant number, since it is smaller than the sum of its proper divisors (331150660128).

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

118042168320 is an equidigital number, since it uses as much as digits as its factorization.

118042168320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5638 (or 5608 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 118042168320 in words is "one hundred eighteen billion, forty-two million, one hundred sixty-eight thousand, three hundred twenty".