Search a number
-
+
108428575248 = 24327679191747
BaseRepresentation
bin110010011111011011…
…0001100001000010000
3101100212120111022212100
41210332312030020100
53234030203401443
6121451132400400
710555650453120
oct1447666141020
9340776438770
10108428575248
1141a91116474
1219020616100
13a2bca8a786
14536860ac80
152c491903d3
hex193ed8c210

108428575248 has 240 divisors, whose sum is σ = 352560133120. Its totient is φ = 30466554624.

The previous prime is 108428575237. The next prime is 108428575253. The reversal of 108428575248 is 842575824801.

108428575248 is a `hidden beast` number, since 1 + 0 + 8 + 4 + 28 + 575 + 2 + 48 = 666.

It is a super-2 number, since 2×1084285752482 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 108428575194 and 108428575203.

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, 62064711 + ... + 62066457.

Almost surely, 2108428575248 is an apocalyptic number.

108428575248 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 108428575248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176280066560).

108428575248 is an abundant number, since it is smaller than the sum of its proper divisors (244131557872).

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

108428575248 is a wasteful number, since it uses less digits than its factorization.

108428575248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2754 (or 2745 counting only the distinct ones).

The product of its (nonzero) digits is 5734400, while the sum is 54.

The spelling of 108428575248 in words is "one hundred eight billion, four hundred twenty-eight million, five hundred seventy-five thousand, two hundred forty-eight".