Base | Representation |
---|---|
bin | 10000011011110001… |
… | …01111100011110000 |
3 | 211202212212102200100 |
4 | 20031320233203300 |
5 | 121032131211024 |
6 | 4015253352400 |
7 | 431432345124 |
oct | 101570574360 |
9 | 24685772610 |
10 | 8822913264 |
11 | 3818339360 |
12 | 1862938700 |
13 | aa7b89449 |
14 | 5d9ab9584 |
15 | 36989b7c9 |
hex | 20de2f8f0 |
8822913264 has 240 divisors, whose sum is σ = 28760659200. Its totient is φ = 2496614400.
The previous prime is 8822913259. The next prime is 8822913269. The reversal of 8822913264 is 4623192288.
8822913264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (8822913259) and next prime (8822913269).
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 (8822913269) 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 47 ways as a sum of consecutive naturals, for example, 2134752 + ... + 2138880.
It is an arithmetic number, because the mean of its divisors is an integer number (119836080).
Almost surely, 28822913264 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 8822913264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14380329600).
8822913264 is an abundant number, since it is smaller than the sum of its proper divisors (19937745936).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8822913264 is a wasteful number, since it uses less digits than its factorization.
8822913264 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4244 (or 4235 counting only the distinct ones).
The product of its digits is 331776, while the sum is 45.
The square root of 8822913264 is about 93930.3639085892. The cubic root of 8822913264 is about 2066.3505648115.
The spelling of 8822913264 in words is "eight billion, eight hundred twenty-two million, nine hundred thirteen thousand, two hundred sixty-four".
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