Search a number
-
+
108270025248 = 253721110120717
BaseRepresentation
bin110010011010101100…
…1010111101000100000
3101100110112011011011010
41210311121113220200
53233214111301443
6121423310220520
710552014013200
oct1446531275040
9340415134133
10108270025248
1141a0a674510
1218b974b4740
13a295c86cc8
145351538400
152c3a2c2733
hex1935657a20

108270025248 has 288 divisors, whose sum is σ = 364254262848. Its totient is φ = 27842304000.

The previous prime is 108270025231. The next prime is 108270025327. The reversal of 108270025248 is 842520072801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5215786 + ... + 5236502.

It is an arithmetic number, because the mean of its divisors is an integer number (1264771746).

Almost surely, 2108270025248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108270025248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182127131424).

108270025248 is an abundant number, since it is smaller than the sum of its proper divisors (255984237600).

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

108270025248 is a wasteful number, since it uses less digits than its factorization.

108270025248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20856 (or 20841 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The spelling of 108270025248 in words is "one hundred eight billion, two hundred seventy million, twenty-five thousand, two hundred forty-eight".