Search a number
-
+
108876764304 = 24357111919141
BaseRepresentation
bin110010101100110001…
…1111001010010010000
3101102000210211200200000
41211121203321102100
53240434422424204
6122003422530000
710603032140550
oct1453143712220
9342023750600
10108876764304
11421a1105550
1219126736900
13a3618a20b9
1453abd57160
152c736c2039
hex19598f9490

108876764304 has 480 divisors, whose sum is σ = 414716789760. Its totient is φ = 26789875200.

The previous prime is 108876764281. The next prime is 108876764309. The reversal of 108876764304 is 403467678801.

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 (108876764309) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 5678574 + ... + 5697714.

It is an arithmetic number, because the mean of its divisors is an integer number (863993312).

Almost surely, 2108876764304 is an apocalyptic number.

108876764304 is a gapful number since it is divisible by the number (14) 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 108876764304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207358394880).

108876764304 is an abundant number, since it is smaller than the sum of its proper divisors (305840025456).

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

108876764304 is a wasteful number, since it uses less digits than its factorization.

108876764304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19201 (or 19183 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 108876764304 in words is "one hundred eight billion, eight hundred seventy-six million, seven hundred sixty-four thousand, three hundred four".