Base | Representation |
---|---|
bin | 10101011000111010… |
… | …010111000000000000 |
3 | 2012021120120121110000 |
4 | 111120322113000000 |
5 | 334013412430143 |
6 | 14314540240000 |
7 | 1442063166360 |
oct | 253072270000 |
9 | 65246517400 |
10 | 22966530048 |
11 | 9816009a50 |
12 | 454b540000 |
13 | 2220170967 |
14 | 117c2989a0 |
15 | 8e63ecbd3 |
hex | 558e97000 |
22966530048 has 1040 divisors, whose sum is σ = 91340789760. Its totient is φ = 5573836800.
The previous prime is 22966530043. The next prime is 22966530091. The reversal of 22966530048 is 84003566922.
22966530048 is a `hidden beast` number, since 22 + 96 + 6 + 530 + 0 + 4 + 8 = 666.
It is a junction number, because it is equal to n+sod(n) for n = 22966529985 and 22966530012.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22966530043) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 740855793 + ... + 740855823.
Almost surely, 222966530048 is an apocalyptic number.
22966530048 is a gapful number since it is divisible by the number (28) 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 22966530048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45670394880).
22966530048 is an abundant number, since it is smaller than the sum of its proper divisors (68374259712).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22966530048 is a wasteful number, since it uses less digits than its factorization.
22966530048 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 114 (or 83 counting only the distinct ones).
The product of its (nonzero) digits is 622080, while the sum is 45.
The spelling of 22966530048 in words is "twenty-two billion, nine hundred sixty-six million, five hundred thirty thousand, forty-eight".
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