| Base | Representation |
|---|---|
| bin | 1100000001010110… |
| … | …01011001100000000 |
| 3 | 121122202220102200000 |
| 4 | 12000223023030000 |
| 5 | 101204131101320 |
| 6 | 2544222400000 |
| 7 | 315634062642 |
| oct | 60053131400 |
| 9 | 17582812600 |
| 10 | 6453768960 |
| 11 | 2811a91161 |
| 12 | 1301430000 |
| 13 | 7bb0b5102 |
| 14 | 4531ac892 |
| 15 | 27b8bcc90 |
| hex | 180acb300 |
6453768960 has 216 divisors, whose sum is σ = 23157498000. Its totient is φ = 1720922112.
The previous prime is 6453768949. The next prime is 6453768961. The reversal of 6453768960 is 698673546.
It is a tau number, because it is divible by the number of its divisors (216).
It is a super-2 number, since 2×64537689602 = 83302267578118963200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 6453768897 and 6453768906.
It is not an unprimeable number, because it can be changed into a prime (6453768961) 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, 300666 + ... + 321414.
Almost surely, 26453768960 is an apocalyptic number.
6453768960 is a gapful number since it is divisible by the number (60) 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 6453768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11578749000).
6453768960 is an abundant number, since it is smaller than the sum of its proper divisors (16703729040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6453768960 is an equidigital number, since it uses as much as digits as its factorization.
6453768960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 20785 (or 20759 counting only the distinct ones).
The product of its (nonzero) digits is 6531840, while the sum is 54.
The square root of 6453768960 is about 80335.3531143045. The cubic root of 6453768960 is about 1861.8204860774.
The spelling of 6453768960 in words is "six billion, four hundred fifty-three million, seven hundred sixty-eight thousand, nine hundred sixty".
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