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12908442168 = 23322322271493
BaseRepresentation
bin11000000010110011…
…10011001000111000
31020022121111210201200
430001121303020320
5202414030122133
65532520414200
7634611643116
oct140131631070
936277453650
1012908442168
11552452a726
122603017360
1312a942597b
148a6534ab6
155083b8913
hex301673238

12908442168 has 144 divisors (see below), whose sum is σ = 36732051720. Its totient is φ = 4094859648.

The previous prime is 12908442133. The next prime is 12908442181. The reversal of 12908442168 is 86124480921.

12908442168 is a `hidden beast` number, since 1 + 2 + 90 + 84 + 421 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8645230 + ... + 8646722.

Almost surely, 212908442168 is an apocalyptic number.

12908442168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12908442168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18366025860).

12908442168 is an abundant number, since it is smaller than the sum of its proper divisors (23823609552).

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

12908442168 is a wasteful number, since it uses less digits than its factorization.

12908442168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 12908442168 in words is "twelve billion, nine hundred eight million, four hundred forty-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 227 276 414 454 529 552 681 828 908 1058 1362 1493 1587 1656 1816 2043 2116 2724 2986 3174 4086 4232 4479 4761 5221 5448 5972 6348 8172 8958 9522 10442 11944 12696 13437 15663 16344 17916 19044 20884 26874 31326 34339 35832 38088 41768 46989 53748 62652 68678 93978 103017 107496 120083 125304 137356 187956 206034 240166 274712 309051 338911 360249 375912 412068 480332 618102 677822 720498 789797 824136 960664 1016733 1080747 1236204 1355644 1440996 1579594 2033466 2161494 2369391 2472408 2711288 2881992 3050199 3159188 4066932 4322988 4738782 6100398 6318376 7108173 7794953 8133864 8645976 9477564 12200796 14216346 15589906 18955128 23384859 24401592 28432692 31179812 46769718 56865384 62359624 70154577 93539436 140309154 179283919 187078872 280618308 358567838 537851757 561236616 717135676 1075703514 1434271352 1613555271 2151407028 3227110542 4302814056 6454221084 12908442168