Base | Representation |
---|---|
bin | 1000001100011100110101… |
… | …0100000001101111100001 |
3 | 1011220100100202122011102200 |
4 | 2003013031110001233201 |
5 | 2140104430143432014 |
6 | 31055044400203413 |
7 | 1616643655601250 |
oct | 203071524015741 |
9 | 34810322564380 |
10 | 9009990999009 |
11 | 2964130035600 |
12 | 1016243909569 |
13 | 50483ba48220 |
14 | 23212b984797 |
15 | 1095858aca09 |
hex | 831cd501be1 |
9009990999009 has 288 divisors, whose sum is σ = 17979733454592. Its totient is φ = 4229720985600.
The previous prime is 9009990998971. The next prime is 9009990999017.
9009990999009 is nontrivially palindromic in base 10.
It is not a de Polignac number, because 9009990999009 - 231 = 9007843515361 is a prime.
It is not an unprimeable number, because it can be changed into a prime (9009990999049) by changing a digit.
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, 991084554 + ... + 991093644.
Almost surely, 29009990999009 is an apocalyptic number.
9009990999009 is a gapful number since it is divisible by the number (99) formed by its first and last digit.
It is an amenable number.
9009990999009 is a deficient number, since it is larger than the sum of its proper divisors (8969742455583).
9009990999009 is a wasteful number, since it uses less digits than its factorization.
9009990999009 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9349 (or 9335 counting only the distinct ones).
The product of its (nonzero) digits is 43046721, while the sum is 72.
The spelling of 9009990999009 in words is "nine trillion, nine billion, nine hundred ninety million, nine hundred ninety-nine thousand, nine".
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