Base | Representation |
---|---|
bin | 10101100001110101… |
… | …110010111011000000 |
3 | 2012200000110011111000 |
4 | 111201311302323000 |
5 | 334320240004030 |
6 | 14341451052000 |
7 | 1445562360066 |
oct | 254165627300 |
9 | 65600404430 |
10 | 23116328640 |
11 | 9892623939 |
12 | 4591741000 |
13 | 22451cbc92 |
14 | 1194130036 |
15 | 90463c860 |
hex | 561d72ec0 |
23116328640 has 224 divisors, whose sum is σ = 82274420160. Its totient is φ = 6109544448.
The previous prime is 23116328597. The next prime is 23116328647. The reversal of 23116328640 is 4682361132.
23116328640 is a `hidden beast` number, since 2 + 3 + 1 + 1 + 6 + 3 + 2 + 8 + 640 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 23116328595 and 23116328604.
It is not an unprimeable number, because it can be changed into a prime (23116328647) 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 31 ways as a sum of consecutive naturals, for example, 964482 + ... + 988158.
Almost surely, 223116328640 is an apocalyptic number.
23116328640 is a gapful number since it is divisible by the number (20) 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 23116328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41137210080).
23116328640 is an abundant number, since it is smaller than the sum of its proper divisors (59158091520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23116328640 is a wasteful number, since it uses less digits than its factorization.
23116328640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 23816 (or 23800 counting only the distinct ones).
The product of its (nonzero) digits is 41472, while the sum is 36.
Adding to 23116328640 its reverse (4682361132), we get a palindrome (27798689772).
The spelling of 23116328640 in words is "twenty-three billion, one hundred sixteen million, three hundred twenty-eight thousand, six hundred forty".
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