Base | Representation |
---|---|
bin | 10000110001111101… |
… | …00110111001001001 |
3 | 212020212000121201000 |
4 | 20120332212321021 |
5 | 121422301000014 |
6 | 4045542045213 |
7 | 436152144102 |
oct | 103076467111 |
9 | 25225017630 |
10 | 9009000009 |
11 | 3903389059 |
12 | 18b5119809 |
13 | b075b1949 |
14 | 6166b93a9 |
15 | 37ada8509 |
hex | 218fa6e49 |
9009000009 has 16 divisors (see below), whose sum is σ = 14131765440. Its totient is φ = 5652705600.
The previous prime is 9009000001. The next prime is 9009000023. The reversal of 9009000009 is 9000009009.
9009000009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is not a de Polignac number, because 9009000009 - 23 = 9009000001 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (9009000001) 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 15 ways as a sum of consecutive naturals, for example, 9813267 + ... + 9814184.
It is an arithmetic number, because the mean of its divisors is an integer number (883235340).
Almost surely, 29009000009 is an apocalyptic number.
It is an amenable number.
9009000009 is a deficient number, since it is larger than the sum of its proper divisors (5122765431).
9009000009 is a wasteful number, since it uses less digits than its factorization.
9009000009 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 19627477 (or 19627471 counting only the distinct ones).
The product of its (nonzero) digits is 729, while the sum is 27.
The square root of 9009000009 is about 94915.7521647487. The cubic root of 9009000009 is about 2080.7769540270.
The spelling of 9009000009 in words is "nine billion, nine million, nine", and thus it is an aban number and an uban number.
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