Search a number
-
+
108742110372 = 2232731372111783
BaseRepresentation
bin110010101000110001…
…0001110110010100100
3101101200102110120012100
41211101202032302210
53240200440012442
6121542212452100
710566505454520
oct1452142166244
9341612416170
10108742110372
11421320a5005
12190a961a030
13a33ca1720c
145398104d80
152c6697484c
hex195188eca4

108742110372 has 288 divisors, whose sum is σ = 334807875584. Its totient is φ = 29099347200.

The previous prime is 108742110361. The next prime is 108742110377. The reversal of 108742110372 is 273011247801.

108742110372 is a `hidden beast` number, since 1 + 0 + 8 + 74 + 211 + 0 + 372 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (108742110377) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60987393 + ... + 60989175.

Almost surely, 2108742110372 is an apocalyptic number.

108742110372 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 108742110372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167403937792).

108742110372 is an abundant number, since it is smaller than the sum of its proper divisors (226065765212).

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

108742110372 is a wasteful number, since it uses less digits than its factorization.

108742110372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2079 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 108742110372 in words is "one hundred eight billion, seven hundred forty-two million, one hundred ten thousand, three hundred seventy-two".