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12991781376 = 29337134257
BaseRepresentation
bin11000001100101111…
…01101101000000000
31020112102022212122000
430012113231220000
5203101344001001
65545054544000
7636643214430
oct140627555000
936472285560
1012991781376
115567581702
122626b08000
1312c0784c02
148b362a2c0
1551087ba86
hex3065eda00

12991781376 has 160 divisors (see below), whose sum is σ = 43950698880. Its totient is φ = 3711909888.

The previous prime is 12991781353. The next prime is 12991781381. The reversal of 12991781376 is 67318719921.

It is a happy number.

12991781376 is a `hidden beast` number, since 12 + 99 + 178 + 1 + 376 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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, 29640 + ... + 163896.

It is an arithmetic number, because the mean of its divisors is an integer number (274691868).

Almost surely, 212991781376 is an apocalyptic number.

12991781376 is a gapful number since it is divisible by the number (16) 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 12991781376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21975349440).

12991781376 is an abundant number, since it is smaller than the sum of its proper divisors (30958917504).

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

12991781376 is an equidigital number, since it uses as much as digits as its factorization.

12991781376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134291 (or 134269 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 54.

The spelling of 12991781376 in words is "twelve billion, nine hundred ninety-one million, seven hundred eighty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 512 576 672 756 768 864 896 1008 1152 1344 1512 1536 1728 1792 2016 2304 2688 3024 3456 3584 4032 4608 5376 6048 6912 8064 10752 12096 13824 16128 24192 32256 48384 96768 134257 268514 402771 537028 805542 939799 1074056 1208313 1611084 1879598 2148112 2416626 2819397 3222168 3624939 3759196 4296224 4833252 5638794 6444336 7249878 7518392 8458191 8592448 9666504 11277588 12888672 14499756 15036784 16916382 17184896 19333008 22555176 25374573 25777344 28999512 30073568 33832764 34369792 38666016 45110352 50749146 51554688 57999024 60147136 67665528 68739584 77332032 90220704 101498292 103109376 115998048 120294272 135331056 154664064 180441408 202996584 206218752 231996096 240588544 270662112 309328128 360882816 405993168 463992192 481177088 541324224 618656256 721765632 811986336 927984384 1082648448 1443531264 1623972672 1855968768 2165296896 3247945344 4330593792 6495890688 12991781376