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12996929484 = 22327118575471
BaseRepresentation
bin11000001101010110…
…10110011111001100
31020112210000102111200
430012223112133030
5203104203220414
65545401145500
7640035035460
oct140653263714
936483012450
1012996929484
11556a478540
12262878b290
1312c1868226
148b41aa4a0
15511047109
hex306ad67cc

12996929484 has 144 divisors (see below), whose sum is σ = 41015310336. Its totient is φ = 3371270400.

The previous prime is 12996929483. The next prime is 12996929489. The reversal of 12996929484 is 48492969921.

12996929484 is a `hidden beast` number, since 1 + 2 + 99 + 69 + 2 + 9 + 484 = 666.

It is a super-4 number, since 4×129969294844 (a number of 42 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (12996929483) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2372869 + ... + 2378339.

It is an arithmetic number, because the mean of its divisors is an integer number (284828544).

Almost surely, 212996929484 is an apocalyptic number.

12996929484 is a gapful number since it is divisible by the number (14) 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 12996929484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20507655168).

12996929484 is an abundant number, since it is smaller than the sum of its proper divisors (28018380852).

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

12996929484 is a wasteful number, since it uses less digits than its factorization.

12996929484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6356 (or 6351 counting only the distinct ones).

The product of its digits is 20155392, while the sum is 63.

The spelling of 12996929484 in words is "twelve billion, nine hundred ninety-six million, nine hundred twenty-nine thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 857 924 1386 1714 2571 2772 3428 5142 5471 5999 7713 9427 10284 10942 11998 15426 16413 17997 18854 21884 23996 28281 30852 32826 35994 37708 38297 49239 53991 56562 60181 65652 65989 71988 76594 84843 98478 107982 113124 114891 120362 131978 153188 169686 180543 196956 197967 215964 229782 240724 263956 339372 344673 361086 395934 421267 459564 541629 593901 689346 722172 791868 842534 1083258 1187802 1263801 1378692 1685068 2166516 2375604 2527602 3791403 4688647 5055204 7582806 9377294 14065941 15165612 18754588 28131882 32820529 42197823 51575117 56263764 65641058 84395646 98461587 103150234 131282116 154725351 168791292 196923174 206300468 295384761 309450702 361025819 393846348 464176053 590769522 618901404 722051638 928352106 1083077457 1181539044 1444103276 1856704212 2166154914 3249232371 4332309828 6498464742 12996929484