Base | Representation |
---|---|
bin | 10101101010101000… |
… | …001010000100000000 |
3 | 2020001021211212022100 |
4 | 111222220022010000 |
5 | 340121004421402 |
6 | 14404234510400 |
7 | 1452332412135 |
oct | 255250120400 |
9 | 66037755270 |
10 | 23263748352 |
11 | 9958863509 |
12 | 4612b95400 |
13 | 2269906590 |
14 | 11a994658c |
15 | 91255c71c |
hex | 56aa0a100 |
23263748352 has 216 divisors, whose sum is σ = 76038435200. Its totient is φ = 6781169664.
The previous prime is 23263748323. The next prime is 23263748357. The reversal of 23263748352 is 25384736232.
23263748352 is a `hidden beast` number, since 2 + 3 + 2 + 637 + 4 + 8 + 3 + 5 + 2 = 666.
It is a junction number, because it is equal to n+sod(n) for n = 23263748298 and 23263748307.
It is not an unprimeable number, because it can be changed into a prime (23263748357) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 548649 + ... + 589527.
Almost surely, 223263748352 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 23263748352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38019217600).
23263748352 is an abundant number, since it is smaller than the sum of its proper divisors (52774686848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23263748352 is a wasteful number, since it uses less digits than its factorization.
23263748352 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 40933 (or 40916 counting only the distinct ones).
The product of its digits is 1451520, while the sum is 45.
The spelling of 23263748352 in words is "twenty-three billion, two hundred sixty-three million, seven hundred forty-eight thousand, three hundred fifty-two".
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