Base | Representation |
---|---|
bin | 11101000100110010000… |
… | …10100100100111101000 |
3 | 10112111121000202012202001 |
4 | 32202121002210213220 |
5 | 112331423000013000 |
6 | 2042533445020344 |
7 | 132114102621031 |
oct | 16423102444750 |
9 | 3474530665661 |
10 | 999000001000 |
11 | 355745502941 |
12 | 1417430b46b4 |
13 | 7328905bc61 |
14 | 364cd6d9a88 |
15 | 1aebda8546a |
hex | e8990a49e8 |
999000001000 has 64 divisors (see below), whose sum is σ = 2337808009680. Its totient is φ = 399574700800.
The previous prime is 999000000959. The next prime is 999000001039. The reversal of 999000001000 is 100000999.
It can be written as a sum of positive squares in 8 ways, for example, as 149553905284 + 849446095716 = 386722^2 + 921654^2 .
It is a self number, because there is not a number n which added to its sum of digits gives 999000001000.
It is an unprimeable number.
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, 30540654 + ... + 30573346.
Almost surely, 2999000001000 is an apocalyptic number.
It is an amenable number.
999000001000 is an abundant number, since it is smaller than the sum of its proper divisors (1338808008680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
999000001000 is a wasteful number, since it uses less digits than its factorization.
999000001000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 63271 (or 63257 counting only the distinct ones).
The product of its (nonzero) digits is 729, while the sum is 28.
Adding to 999000001000 its reverse (100000999), we get a palindrome (999100001999).
The spelling of 999000001000 in words is "nine hundred ninety-nine billion, one thousand".
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