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999000000999 = 3371113193752579
BaseRepresentation
bin11101000100110010000…
…10100100100111100111
310112111121000202012202000
432202121002210213213
5112331423000012444
62042533445020343
7132114102621030
oct16423102444747
93474530665660
10999000000999
11355745502940
121417430b46b3
137328905bc60
14364cd6d9a87
151aebda85469
hexe8990a49e7

999000000999 has 256 divisors, whose sum is σ = 2148292608000. Its totient is φ = 441554250240.

The previous prime is 999000000959. The next prime is 999000001039.

It can be divided in two parts, 999000000 and 999, that multiplied together give a square (998001000000 = 9990002).

999000000999 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (999000000959) and next prime (999000001039).

It is not a de Polignac number, because 999000000999 - 216 = 998999935463 is a prime.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (999000000959) 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 255 ways as a sum of consecutive naturals, for example, 18973692 + ... + 19026270.

It is an arithmetic number, because the mean of its divisors is an integer number (8391768000).

Almost surely, 2999000000999 is an apocalyptic number.

999000000999 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

999000000999 is an abundant number, since it is smaller than the sum of its proper divisors (1149292607001).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

999000000999 is a wasteful number, since it uses less digits than its factorization.

999000000999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52675 (or 52669 counting only the distinct ones).

The product of its (nonzero) digits is 531441, while the sum is 54.

The spelling of 999000000999 in words is "nine hundred ninety-nine billion, nine hundred ninety-nine", and thus it is an aban number.