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12844350905980 = 22511267169746681
BaseRepresentation
bin1011101011101000111011…
…1110010001111001111100
31200110220111220021022020111
42322322032332101321330
53140420212312442410
643152340252155404
72463654663211306
oct272721676217174
950426456238214
1012844350905980
114102293264700
1215353a3168b64
137222a8c52899
143259542ca976
1517419eb86b8a
hexbae8ef91e7c

12844350905980 has 144 divisors (see below), whose sum is σ = 30109045242528. Its totient is φ = 4598151782400.

The previous prime is 12844350905959. The next prime is 12844350906007. The reversal of 12844350905980 is 8950905344821.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275128240 + ... + 275174920.

It is an arithmetic number, because the mean of its divisors is an integer number (209090591962).

Almost surely, 212844350905980 is an apocalyptic number.

12844350905980 is a gapful number since it is divisible by the number (10) 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 12844350905980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15054522621264).

12844350905980 is an abundant number, since it is smaller than the sum of its proper divisors (17264694336548).

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

12844350905980 is a wasteful number, since it uses less digits than its factorization.

12844350905980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48476 (or 48463 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 58.

The spelling of 12844350905980 in words is "twelve trillion, eight hundred forty-four billion, three hundred fifty million, nine hundred five thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 67 110 121 134 220 242 268 335 484 605 670 737 1210 1340 1474 1697 2420 2948 3394 3685 6788 7370 8107 8485 14740 16214 16970 18667 32428 33940 37334 40535 46681 74668 81070 93335 93362 113699 162140 186670 186724 205337 227398 233405 373340 410674 454796 466810 513491 568495 821348 933620 1026685 1026982 1136990 1250689 2053370 2053964 2273980 2501378 2567455 3127627 4106740 5002756 5134910 5648401 6253445 6255254 10269820 11296802 12506890 12510508 13757579 15638135 22593604 25013780 27515158 28242005 31276270 34403897 55030316 56484010 62552540 68787895 68807794 79217657 112968020 137575790 137615588 158435314 172019485 275151580 316870628 344038970 378442867 396088285 688077940 756885734 792176570 871394227 1513771468 1584353140 1742788454 1892214335 3485576908 3784428670 4356971135 5307583019 7568857340 8713942270 9585336497 10615166038 17427884540 19170672994 21230332076 26537915095 38341345988 47926682485 53075830190 58383413209 95853364970 106151660380 116766826418 191706729940 233533652836 291917066045 583834132090 642217545299 1167668264180 1284435090598 2568870181196 3211087726495 6422175452990 12844350905980