Search a number
-
+
108815228928 = 21336719137
BaseRepresentation
bin110010101010111100…
…1001010000000000000
3101101212112001101000000
41211111321022000000
53240323144311203
6121553344000000
710601354120250
oct1452571120000
9341775041000
10108815228928
114216a3a606a
121910a000000
13a351c08333
1453a3ad9960
152c6d0b94a3
hex1955e4a000

108815228928 has 784 divisors, whose sum is σ = 395378147520. Its totient is φ = 29238755328.

The previous prime is 108815228927. The next prime is 108815228969. The reversal of 108815228928 is 829822518801.

It is a happy number.

108815228928 is a `hidden beast` number, since 10 + 8 + 8 + 1 + 522 + 89 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (108815228927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 794271676 + ... + 794271812.

Almost surely, 2108815228928 is an apocalyptic number.

108815228928 is a gapful number since it is divisible by the number (18) 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 108815228928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197689073760).

108815228928 is an abundant number, since it is smaller than the sum of its proper divisors (286562918592).

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

108815228928 is an frugal number, since it uses more digits than its factorization.

108815228928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 54.

The spelling of 108815228928 in words is "one hundred eight billion, eight hundred fifteen million, two hundred twenty-eight thousand, nine hundred twenty-eight".