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12991710816 = 2532723280187
BaseRepresentation
bin11000001100101110…
…11100011001100000
31020112102012021211200
430012113130121200
5203101334221231
65545053241200
7636642501630
oct140627343140
936472167750
1012991710816
115567533697
122626a93200
1312c075ba66
148b360c6c0
15510865be6
hex3065dc660

12991710816 has 144 divisors (see below), whose sum is σ = 44059002624. Its totient is φ = 3550516992.

The previous prime is 12991710757. The next prime is 12991710859. The reversal of 12991710816 is 61801719921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93726 + ... + 186461.

It is an arithmetic number, because the mean of its divisors is an integer number (305965296).

Almost surely, 212991710816 is an apocalyptic number.

12991710816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12991710816 is an abundant number, since it is smaller than the sum of its proper divisors (31067291808).

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

12991710816 is a wasteful number, since it uses less digits than its factorization.

12991710816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280233 (or 280222 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 45.

The spelling of 12991710816 in words is "twelve billion, nine hundred ninety-one million, seven hundred ten thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 32 36 42 46 48 56 63 69 72 84 92 96 112 126 138 144 161 168 184 207 224 252 276 288 322 336 368 414 483 504 552 644 672 736 828 966 1008 1104 1288 1449 1656 1932 2016 2208 2576 2898 3312 3864 5152 5796 6624 7728 11592 15456 23184 46368 280187 560374 840561 1120748 1681122 1961309 2241496 2521683 3362244 3922618 4482992 5043366 5883927 6444301 6724488 7845236 8965984 10086732 11767854 12888602 13448976 15690472 17651781 19332903 20173464 23535708 25777204 26897952 31380944 35303562 38665806 40346928 45110107 47071416 51554408 57998709 62761888 70607124 77331612 80693856 90220214 94142832 103108816 115997418 135330321 141214248 154663224 180440428 188285664 206217632 231994836 270660642 282428496 309326448 360880856 405990963 463989672 541321284 564856992 618652896 721761712 811981926 927979344 1082642568 1443523424 1623963852 1855958688 2165285136 3247927704 4330570272 6495855408 12991710816