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9990884880999 = 32111740131479281
BaseRepresentation
bin1001000101100010111100…
…1001001111001001100111
31022101010012221112020020100
42101120233021033021213
52302142313012142444
633125425452235143
72050550304201321
oct221305711171147
938333187466210
109990884880999
113202124065220
12115437316bab3
135761a089cb99
142677c070c611
15124d44ac6e69
hex9162f24f267

9990884880999 has 48 divisors (see below), whose sum is σ = 16673448957984. Its totient is φ = 5697476505600.

The previous prime is 9990884880971. The next prime is 9990884881037.

9990884880999 is nontrivially palindromic in base 10.

9990884880999 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9990884880999 - 219 = 9990884356711 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9990884380999) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6014239 + ... + 7493519.

It is an arithmetic number, because the mean of its divisors is an integer number (347363519958).

Almost surely, 29990884880999 is an apocalyptic number.

9990884880999 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

9990884880999 is a deficient number, since it is larger than the sum of its proper divisors (6682564076985).

9990884880999 is a wasteful number, since it uses less digits than its factorization.

9990884880999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483328 (or 1483325 counting only the distinct ones).

The product of its (nonzero) digits is 8707129344, while the sum is 90.

The spelling of 9990884880999 in words is "nine trillion, nine hundred ninety billion, eight hundred eighty-four million, eight hundred eighty thousand, nine hundred ninety-nine".

Divisors: 1 3 9 11 17 33 51 99 153 187 561 1683 4013 12039 36117 44143 68221 132429 204663 397287 613989 750431 1479281 2251293 4437843 6753879 13313529 16272091 25147777 48816273 75443331 146448819 226329993 276625547 829876641 2489629923 5936354653 17809063959 53427191877 65299901183 100918029101 195899703549 302754087303 587699110647 908262261909 1110098320111 3330294960333 9990884880999