Search a number
-
+
12422919168 = 2103211315967
BaseRepresentation
bin10111001000111011…
…01011010000000000
31012001202220200101100
423210131223100000
5200420231403133
65412414134400
7616565033142
oct134435532000
935052820340
1012422919168
1152a5461050
1224a84b1400
13122c96c15a
1485bc6ac92
154ca95ee13
hex2e476b400

12422919168 has 528 divisors, whose sum is σ = 41691985920. Its totient is φ = 3527884800.

The previous prime is 12422919161. The next prime is 12422919209. The reversal of 12422919168 is 86191922421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (528).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12422919161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 185416671 + ... + 185416737.

Almost surely, 212422919168 is an apocalyptic number.

12422919168 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 12422919168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20845992960).

12422919168 is an abundant number, since it is smaller than the sum of its proper divisors (29269066752).

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

12422919168 is a wasteful number, since it uses less digits than its factorization.

12422919168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 173 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The spelling of 12422919168 in words is "twelve billion, four hundred twenty-two million, nine hundred nineteen thousand, one hundred sixty-eight".