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990109910912 = 27199228117041
BaseRepresentation
bin11100110100001110010…
…01100100011110000000
310111122122110110211210012
432122013021210132000
5112210221114122122
62034503351324052
7131350563245033
oct16320711443600
93448573424705
10990109910912
113519a3261651
1213ba81980628
13724a02b2015
1435cc8b3501a
151ab4d3697e2
hexe687264780

990109910912 has 64 divisors (see below), whose sum is σ = 1983382044000. Its totient is φ = 492322406400.

The previous prime is 990109910849. The next prime is 990109910921. The reversal of 990109910912 is 219019901099.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 58093112 + ... + 58110152.

Almost surely, 2990109910912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 990109910912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991691022000).

990109910912 is an abundant number, since it is smaller than the sum of its proper divisors (993272133088).

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

990109910912 is a wasteful number, since it uses less digits than its factorization.

990109910912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19535 (or 19523 counting only the distinct ones).

The product of its (nonzero) digits is 118098, while the sum is 50.

The spelling of 990109910912 in words is "nine hundred ninety billion, one hundred nine million, nine hundred ten thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 199 398 796 1592 2281 3184 4562 6368 9124 12736 17041 18248 25472 34082 36496 68164 72992 136328 145984 272656 291968 453919 545312 907838 1090624 1815676 2181248 3391159 3631352 6782318 7262704 13564636 14525408 27129272 29050816 38870521 54258544 58101632 77741042 108517088 155482084 217034176 310964168 434068352 621928336 1243856672 2487713344 4975426688 7735233679 15470467358 30940934716 61881869432 123763738864 247527477728 495054955456 990109910912