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12779033104488 = 2337592515136449
BaseRepresentation
bin1011100111110101100110…
…1110101001000001101000
31200020122220210022012020110
42321331121232221001220
53133332424433320423
643102335021054320
72456153232105210
oct271753156510150
950218823265213
1012779033104488
114087615047682
1215247b43b73a0
137190998754c1
1432271948b240
1517262a654193
hexb9f59ba9068

12779033104488 has 128 divisors (see below), whose sum is σ = 37278299520000. Its totient is φ = 3574967808000.

The previous prime is 12779033104477. The next prime is 12779033104507. The reversal of 12779033104488 is 88440133097721.

It is a super-2 number, since 2×127790331044882 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80313 + ... + 5056136.

It is an arithmetic number, because the mean of its divisors is an integer number (291236715000).

Almost surely, 212779033104488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12779033104488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18639149760000).

12779033104488 is an abundant number, since it is smaller than the sum of its proper divisors (24499266415512).

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

12779033104488 is a wasteful number, since it uses less digits than its factorization.

12779033104488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5136775 (or 5136771 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 57.

The spelling of 12779033104488 in words is "twelve trillion, seven hundred seventy-nine billion, thirty-three million, one hundred four thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 59 84 118 168 177 236 251 354 413 472 502 708 753 826 1004 1239 1416 1506 1652 1757 2008 2478 3012 3304 3514 4956 5271 6024 7028 9912 10542 14056 14809 21084 29618 42168 44427 59236 88854 103663 118472 177708 207326 310989 355416 414652 621978 829304 1243956 2487912 5136449 10272898 15409347 20545796 30818694 35955143 41091592 61637388 71910286 107865429 123274776 143820572 215730858 287641144 303050491 431461716 606100982 862923432 909151473 1212201964 1289248699 1818302946 2121353437 2424403928 2578497398 3636605892 3867746097 4242706874 5156994796 6364060311 7273211784 7735492194 8485413748 9024740893 10313989592 12728120622 15470984388 16970827496 18049481786 25456241244 27074222679 30941968776 36098963572 50912482488 54148445358 72197927144 76065673241 108296890716 152131346482 216593781432 228197019723 304262692964 456394039446 532459712687 608525385928 912788078892 1064919425374 1597379138061 1825576157784 2129838850748 3194758276122 4259677701496 6389516552244 12779033104488