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12329698468160 = 265172266488689
BaseRepresentation
bin1011001101101011101101…
…0011000010000101000000
31121122201002212220121222202
42303122323103002011000
53104002210301440120
642120104004252332
72411535264524213
oct263327323020500
947581085817882
1012329698468160
113a23aa5394867
1214716b30a10a8
136b58bb29a478
14308a910b777a
15165acc9e5875
hexb36bb4c2140

12329698468160 has 56 divisors (see below), whose sum is σ = 31087158872040. Its totient is φ = 4641768833024.

The previous prime is 12329698468123. The next prime is 12329698468187. The reversal of 12329698468160 is 6186489692321.

It can be written as a sum of positive squares in 4 ways, for example, as 4052201208064 + 8277497260096 = 2013008^2 + 2877064^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1133238905 + ... + 1133249784.

Almost surely, 212329698468160 is an apocalyptic number.

12329698468160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12329698468160 is an abundant number, since it is smaller than the sum of its proper divisors (18757460403880).

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

12329698468160 is a wasteful number, since it uses less digits than its factorization.

12329698468160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2266488723 (or 2266488713 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 65.

The spelling of 12329698468160 in words is "twelve trillion, three hundred twenty-nine billion, six hundred ninety-eight million, four hundred sixty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 2720 5440 2266488689 4532977378 9065954756 11332443445 18131909512 22664886890 36263819024 38530307713 45329773780 72527638048 77060615426 90659547560 145055276096 154121230852 181319095120 192651538565 308242461704 362638190240 385303077130 616484923408 725276380480 770606154260 1232969846816 1541212308520 2465939693632 3082424617040 6164849234080 12329698468160