Search a number
-
+
108922333138080 = 25357311439113697
BaseRepresentation
bin11000110001000001110100…
…111110011000110010100000
3112021122212120200012222101120
4120301001310332120302200
5103234040414240404310
61023354121250532240
731641243645366000
oct3061016476306240
9467585520188346
10108922333138080
113178477a503410
1210271a64b97080
1348a14413793b7
141cc7c24976000
15c8d4be747b70
hex631074f98ca0

108922333138080 has 768 divisors, whose sum is σ = 436628944281600. Its totient is φ = 22626405580800.

The previous prime is 108922333138033. The next prime is 108922333138103. The reversal of 108922333138080 is 80831333229801.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7952269792 + ... + 7952283488.

It is an arithmetic number, because the mean of its divisors is an integer number (568527271200).

Almost surely, 2108922333138080 is an apocalyptic number.

108922333138080 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 108922333138080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218314472140800).

108922333138080 is an abundant number, since it is smaller than the sum of its proper divisors (327706611143520).

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

108922333138080 is a wasteful number, since it uses less digits than its factorization.

108922333138080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18138 (or 18116 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 108922333138080 in words is "one hundred eight trillion, nine hundred twenty-two billion, three hundred thirty-three million, one hundred thirty-eight thousand, eighty".