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12288928932 = 223572258019
BaseRepresentation
bin10110111000111101…
…00010110010100100
31011201102210021100000
423130132202302210
5200131431211212
65351230221300
7613350113100
oct133436426244
934642707300
1012288928932
115236864215
12246b654830
13120ac873a7
1484814c900
154bdce41dc
hex2dc7a2ca4

12288928932 has 108 divisors (see below), whose sum is σ = 37473792720. Its totient is φ = 3511108944.

The previous prime is 12288928877. The next prime is 12288928937. The reversal of 12288928932 is 23982988221.

12288928932 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12288928937) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 81382 + ... + 176637.

Almost surely, 212288928932 is an apocalyptic number.

12288928932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12288928932 is an abundant number, since it is smaller than the sum of its proper divisors (25184863788).

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

12288928932 is a wasteful number, since it uses less digits than its factorization.

12288928932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258052 (or 258031 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The spelling of 12288928932 in words is "twelve billion, two hundred eighty-eight million, nine hundred twenty-eight thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 243 252 294 324 378 441 486 567 588 756 882 972 1134 1323 1701 1764 2268 2646 3402 3969 5292 6804 7938 11907 15876 23814 47628 258019 516038 774057 1032076 1548114 1806133 2322171 3096228 3612266 4644342 5418399 6966513 7224532 9288684 10836798 12642931 13933026 16255197 20899539 21673596 25285862 27866052 32510394 37928793 41799078 48765591 50571724 62698617 65020788 75857586 83598156 97531182 113786379 125397234 146296773 151715172 195062364 227572758 250794468 292593546 341359137 438890319 455145516 585187092 682718274 877780638 1024077411 1365436548 1755561276 2048154822 3072232233 4096309644 6144464466 12288928932