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12908704158 = 234731912227
BaseRepresentation
bin11000000010110101…
…10011000110011110
31020022122000010010000
430001122303012132
5202414112013113
65532530155130
7634614114000
oct140132630636
936278003100
1012908704158
115524699549
122603122aa6
1312a94b7cac
148a65a2370
1550841b373
hex3016b319e

12908704158 has 160 divisors (see below), whose sum is σ = 35510112000. Its totient is φ = 3493799568.

The previous prime is 12908704147. The next prime is 12908704181. The reversal of 12908704158 is 85140780921.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1049641 + ... + 1061867.

It is an arithmetic number, because the mean of its divisors is an integer number (221938200).

Almost surely, 212908704158 is an apocalyptic number.

12908704158 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12908704158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17755056000).

12908704158 is an abundant number, since it is smaller than the sum of its proper divisors (22601407842).

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

12908704158 is a wasteful number, since it uses less digits than its factorization.

12908704158 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12281 (or 12258 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 12908704158 in words is "twelve billion, nine hundred eight million, seven hundred four thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 49 54 57 63 81 98 114 126 133 147 162 171 189 266 294 342 343 378 399 441 513 567 686 798 882 931 1026 1029 1134 1197 1323 1539 1862 2058 2394 2646 2793 3078 3087 3591 3969 5586 6174 6517 7182 7938 8379 9261 10773 12227 13034 16758 18522 19551 21546 24454 25137 27783 36681 39102 50274 55566 58653 73362 75411 85589 110043 117306 150822 171178 175959 220086 232313 256767 330129 351918 464626 513534 527877 599123 660258 696939 770301 990387 1055754 1198246 1393878 1540602 1626191 1797369 1980774 2090817 2310903 3252382 3594738 4181634 4193861 4621806 4878573 5392107 6272451 6932709 8387722 9757146 10784214 11383337 12544902 12581583 13865418 14635719 16176321 18817353 22766674 25163166 29271438 32352642 34150011 37634706 37744749 43907157 48528963 68300022 75489498 79683359 87814314 97057926 102450033 113234247 131721471 159366718 204900066 226468494 239050077 263442942 307350099 339702741 478100154 614700198 679405482 717150231 922050297 1434300462 1844100594 2151450693 4302901386 6454352079 12908704158