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12732988348416 = 21137296060927
BaseRepresentation
bin1011100101001010000100…
…1111110101100000000000
31200002021001211222020021110
42321102201033311200000
53132104130004122131
643025242030123320
72452633215121650
oct271224117654000
950067054866243
1012732988348416
11406a036a79966
1215178a4050540
1371493c3868cb
143203cc180360
15171333143646
hexb94a13f5800

12732988348416 has 96 divisors (see below), whose sum is σ = 38795824005120. Its totient is φ = 3637996658688.

The previous prime is 12732988348397. The next prime is 12732988348447. The reversal of 12732988348416 is 61484388923721.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147987456 + ... + 148073471.

It is an arithmetic number, because the mean of its divisors is an integer number (404123166720).

Almost surely, 212732988348416 is an apocalyptic number.

12732988348416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12732988348416 is an abundant number, since it is smaller than the sum of its proper divisors (26062835656704).

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

12732988348416 is an equidigital number, since it uses as much as digits as its factorization.

12732988348416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296060959 (or 296060939 counting only the distinct ones).

The product of its digits is 111476736, while the sum is 66.

The spelling of 12732988348416 in words is "twelve trillion, seven hundred thirty-two billion, nine hundred eighty-eight million, three hundred forty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 5376 6144 7168 10752 14336 21504 43008 296060927 592121854 888182781 1184243708 1776365562 2072426489 2368487416 3552731124 4144852978 4736974832 6217279467 7105462248 8289705956 9473949664 12434558934 14210924496 16579411912 18947899328 24869117868 28421848992 33158823824 37895798656 49738235736 56843697984 66317647648 75791597312 99476471472 113687395968 132635295296 151583194624 198952942944 227374791936 265270590592 303166389248 397905885888 454749583872 530541181184 606332778496 795811771776 909499167744 1061082362368 1591623543552 1818998335488 2122164724736 3183247087104 4244329449472 6366494174208 12732988348416