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12189905126 = 273193130169
BaseRepresentation
bin10110101101001001…
…10011000011100110
31011110112110100012122
423112210303003212
5144431103431001
65333331545542
7611035325000
oct132644630346
934415410178
1012189905126
11519597a163
12244245b2b2
1311c35c6019
14838d33370
154b5283b1b
hex2d69330e6

12189905126 has 64 divisors (see below), whose sum is σ = 23170560000. Its totient is φ = 4789471680.

The previous prime is 12189905071. The next prime is 12189905159. The reversal of 12189905126 is 62150998121.

12189905126 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

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 31 ways as a sum of consecutive naturals, for example, 388970 + ... + 419138.

It is an arithmetic number, because the mean of its divisors is an integer number (362040000).

Almost surely, 212189905126 is an apocalyptic number.

12189905126 is a deficient number, since it is larger than the sum of its proper divisors (10980654874).

12189905126 is a wasteful number, since it uses less digits than its factorization.

12189905126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30242 (or 30228 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 44.

The spelling of 12189905126 in words is "twelve billion, one hundred eighty-nine million, nine hundred five thousand, one hundred twenty-six".

Divisors: 1 2 7 14 19 31 38 49 62 98 133 217 266 343 434 589 686 931 1178 1519 1862 3038 4123 6517 8246 10633 13034 21266 28861 30169 57722 60338 202027 211183 404054 422366 573211 935239 1146422 1478281 1870478 2956562 4012477 6546673 8024954 10347967 13093346 17769541 20695934 28087339 35539082 45826711 56174678 91653422 124386787 196611373 248773574 320786977 393222746 641573954 870707509 1741415018 6094952563 12189905126