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12694224816 = 2432713968729
BaseRepresentation
bin10111101001010001…
…00111111110110000
31012202200102102202200
423310220213332300
5201444210143231
65455345143200
7626401062540
oct136450477660
935680372680
1012694224816
115424616a99
12256332ab00
131273c31340
14885cd1320
154e46a1be6
hex2f4a27fb0

12694224816 has 120 divisors (see below), whose sum is σ = 43724597280. Its totient is φ = 3347923968.

The previous prime is 12694224793. The next prime is 12694224817. The reversal of 12694224816 is 61842249621.

It is a happy number.

12694224816 is a `hidden beast` number, since 126 + 9 + 42 + 2 + 481 + 6 = 666.

It is a super-2 number, since 2×126942248162 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12694224817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 471261 + ... + 497468.

It is an arithmetic number, because the mean of its divisors is an integer number (364371644).

Almost surely, 212694224816 is an apocalyptic number.

12694224816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12694224816 is an abundant number, since it is smaller than the sum of its proper divisors (31030372464).

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

12694224816 is a wasteful number, since it uses less digits than its factorization.

12694224816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968763 (or 968754 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 12694224816 in words is "twelve billion, six hundred ninety-four million, two hundred twenty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1872 2184 3276 4368 6552 13104 968729 1937458 2906187 3874916 5812374 6781103 7749832 8718561 11624748 12593477 13562206 15499664 17437122 20343309 23249496 25186954 27124412 34874244 37780431 40686618 46498992 50373908 54248824 61029927 69748488 75560862 81373236 88154339 100747816 108497648 113341293 122059854 139496976 151121724 162746472 176308678 201495632 226682586 244119708 264463017 302243448 325492944 352617356 453365172 488239416 528926034 604486896 705234712 793389051 906730344 976478832 1057852068 1410469424 1586778102 1813460688 2115704136 3173556204 4231408272 6347112408 12694224816