| Base | Representation |
|---|---|
| bin | 1010110000010000000011… |
| … | …11001010011011011110000 |
| 3 | 10002201201221021010001021000 |
| 4 | 11120020001321103123300 |
| 5 | 11044422323130341200 |
| 6 | 122143444103402000 |
| 7 | 4660343334055200 |
| oct | 530100171233360 |
| 9 | 102651837101230 |
| 10 | 23648121730800 |
| 11 | 7598126236966 |
| 12 | 279b1b8153300 |
| 13 | 1027015348458 |
| 14 | 5ba80a4ba400 |
| 15 | 2b021de73300 |
| hex | 158201e536f0 |
23648121730800 has 1440 divisors, whose sum is σ = 98791064467200. Its totient is φ = 5357020354560.
The previous prime is 23648121730759. The next prime is 23648121730813. The reversal of 23648121730800 is 803712184632.
23648121730800 is a `hidden beast` number, since 2 + 3 + 6 + 481 + 21 + 73 + 0 + 80 + 0 = 666.
23648121730800 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×236481217308002 (a number of 28 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 40286408107 + ... + 40286408693.
It is an arithmetic number, because the mean of its divisors is an integer number (68604905880).
Almost surely, 223648121730800 is an apocalyptic number.
23648121730800 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 23648121730800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49395532233600).
23648121730800 is an abundant number, since it is smaller than the sum of its proper divisors (75142942736400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23648121730800 is a wasteful number, since it uses less digits than its factorization.
23648121730800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1180 (or 1156 counting only the distinct ones).
The product of its (nonzero) digits is 387072, while the sum is 45.
The spelling of 23648121730800 in words is "twenty-three trillion, six hundred forty-eight billion, one hundred twenty-one million, seven hundred thirty thousand, eight hundred".
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