| Base | Representation |
|---|---|
| bin | 11111010101010011… |
| … | …11101001100000000 |
| 3 | 1121102100010101220000 |
| 4 | 33222221331030000 |
| 5 | 233422333101320 |
| 6 | 11421112520000 |
| 7 | 1133600451123 |
| oct | 175251751400 |
| 9 | 47370111800 |
| 10 | 16821768960 |
| 11 | 71524a4aa7 |
| 12 | 33156b0000 |
| 13 | 17810bb759 |
| 14 | b581663ba |
| 15 | 686c1cc90 |
| hex | 3eaa7d300 |
16821768960 has 360 divisors, whose sum is σ = 60901061760. Its totient is φ = 4432969728.
The previous prime is 16821768941. The next prime is 16821768961. The reversal of 16821768960 is 6986712861.
16821768960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (360).
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 = 16821768897 and 16821768906.
It is not an unprimeable number, because it can be changed into a prime (16821768961) 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 39 ways as a sum of consecutive naturals, for example, 9226609 + ... + 9228431.
It is an arithmetic number, because the mean of its divisors is an integer number (169169616).
Almost surely, 216821768960 is an apocalyptic number.
16821768960 is a gapful number since it is divisible by the number (10) 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 16821768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30450530880).
16821768960 is an abundant number, since it is smaller than the sum of its proper divisors (44079292800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
16821768960 is an equidigital number, since it uses as much as digits as its factorization.
16821768960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1945 (or 1922 counting only the distinct ones).
The product of its (nonzero) digits is 1741824, while the sum is 54.
The spelling of 16821768960 in words is "sixteen billion, eight hundred twenty-one million, seven hundred sixty-eight thousand, nine hundred sixty".
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