| Base | Representation |
|---|---|
| bin | 10101101010111010… |
| … | …100000000000000000 |
| 3 | 2020001121220011021000 |
| 4 | 111222322200000000 |
| 5 | 340123222304200 |
| 6 | 14404525532000 |
| 7 | 1452421320006 |
| oct | 255272400000 |
| 9 | 66047804230 |
| 10 | 23268556800 |
| 11 | 9960548135 |
| 12 | 4614714000 |
| 13 | 226a8cb108 |
| 14 | 11aa438a76 |
| 15 | 912bac300 |
| hex | 56aea0000 |
23268556800 has 432 divisors, whose sum is σ = 85815132480. Its totient is φ = 6181355520.
The previous prime is 23268556793. The next prime is 23268556807. The reversal of 23268556800 is 865586232.
23268556800 is a `hidden beast` number, since 2 + 3 + 2 + 6 + 85 + 568 + 0 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (23268556793) and next prime (23268556807).
It is a tau number, because it is divible by the number of its divisors (432).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (23268556807) 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, 88473469 + ... + 88473731.
It is an arithmetic number, because the mean of its divisors is an integer number (198646140).
Almost surely, 223268556800 is an apocalyptic number.
23268556800 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 23268556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42907566240).
23268556800 is an abundant number, since it is smaller than the sum of its proper divisors (62546575680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23268556800 is an frugal number, since it uses more digits than its factorization.
23268556800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 316 (or 273 counting only the distinct ones).
The product of its (nonzero) digits is 691200, while the sum is 45.
The spelling of 23268556800 in words is "twenty-three billion, two hundred sixty-eight million, five hundred fifty-six thousand, eight hundred".
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