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999090090999 = 32711131019831117
BaseRepresentation
bin11101000100111100110…
…10001111001111110111
310112111211022021020222200
432202132122033033313
5112332114030402444
62042550423555543
7132116245440060
oct16423632171767
93474738236880
10999090090999
11355791345890
121417692bbbb3
13732a1912b50
14364db66b567
151aec692d969
hexe89e68f3f7

999090090999 has 192 divisors, whose sum is σ = 1960558000128. Its totient is φ = 473433984000.

The previous prime is 999090090989. The next prime is 999090091039.

999090090999 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 999090090999 - 216 = 999090025463 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (999090090989) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 894439989 + ... + 894441105.

It is an arithmetic number, because the mean of its divisors is an integer number (10211239584).

Almost surely, 2999090090999 is an apocalyptic number.

999090090999 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

999090090999 is a deficient number, since it is larger than the sum of its proper divisors (961467909129).

999090090999 is a wasteful number, since it uses less digits than its factorization.

999090090999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238 (or 2235 counting only the distinct ones).

The product of its (nonzero) digits is 43046721, while the sum is 72.

The spelling of 999090090999 in words is "nine hundred ninety-nine billion, ninety million, ninety thousand, nine hundred ninety-nine".