Search a number
-
+
9122486688 = 25327172371163
BaseRepresentation
bin10000111111011111…
…00001100110100000
3212112202120100011100
420133233201212200
5122140324033223
64105114314400
7442030600050
oct103757414640
925482510140
109122486688
1139614512a7
121927128a00
13b24c68023
146277bb560
15385d24043
hex21fbe19a0

9122486688 has 576 divisors, whose sum is σ = 33422118912. Its totient is φ = 2299207680.

The previous prime is 9122486687. The next prime is 9122486719. The reversal of 9122486688 is 8866842219.

9122486688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (9122486687) 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, 55966095 + ... + 55966257.

It is an arithmetic number, because the mean of its divisors is an integer number (58024512).

Almost surely, 29122486688 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 9122486688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16711059456).

9122486688 is an abundant number, since it is smaller than the sum of its proper divisors (24299632224).

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

9122486688 is a wasteful number, since it uses less digits than its factorization.

9122486688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 286 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 9122486688 is about 95511.7096904877. The cubic root of 9122486688 is about 2089.4777269965.

The spelling of 9122486688 in words is "nine billion, one hundred twenty-two million, four hundred eighty-six thousand, six hundred eighty-eight".