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12833401728 = 273717280843
BaseRepresentation
bin10111111001110111…
…00010101110000000
31020010101022100121010
423330323202232000
5202240322323403
65521240200520
7633011054250
oct137473425600
936111270533
1012833401728
115496136734
1225a1a69140
131296a10b44
1489a59d960
155019e4603
hex2fcee2b80

12833401728 has 128 divisors (see below), whose sum is σ = 41250366720. Its totient is φ = 3450986496.

The previous prime is 12833401621. The next prime is 12833401741. The reversal of 12833401728 is 82710433821.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94726 + ... + 186117.

It is an arithmetic number, because the mean of its divisors is an integer number (322268490).

Almost surely, 212833401728 is an apocalyptic number.

It is an amenable number.

12833401728 is an abundant number, since it is smaller than the sum of its proper divisors (28416964992).

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

12833401728 is a wasteful number, since it uses less digits than its factorization.

12833401728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280884 (or 280872 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 12833401728 in words is "twelve billion, eight hundred thirty-three million, four hundred one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 128 136 168 192 204 224 238 272 336 357 384 408 448 476 544 672 714 816 896 952 1088 1344 1428 1632 1904 2176 2688 2856 3264 3808 5712 6528 7616 11424 15232 22848 45696 280843 561686 842529 1123372 1685058 1965901 2246744 3370116 3931802 4493488 4774331 5897703 6740232 7863604 8986976 9548662 11795406 13480464 14322993 15727208 17973952 19097324 23590812 26960928 28645986 31454416 33420317 35947904 38194648 47181624 53921856 57291972 62908832 66840634 76389296 94363248 100260951 107843712 114583944 125817664 133681268 152778592 188726496 200521902 229167888 251635328 267362536 305557184 377452992 401043804 458335776 534725072 611114368 754905984 802087608 916671552 1069450144 1604175216 1833343104 2138900288 3208350432 4277800576 6416700864 12833401728