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12684886297104 = 2437791792669729
BaseRepresentation
bin1011100010010110111000…
…1001000100101000010000
31122220122220112110211210110
42320211232021010220100
53130312121343001404
642551204544201320
72446311210333210
oct270455611045020
948818815424713
1012684886297104
1140506a269084a
12150a4ba909240
137102448acb58
1431bd47942240
1516ee6a203b89
hexb896e244a10

12684886297104 has 160 divisors (see below), whose sum is σ = 38136559104000. Its totient is φ = 3558384340992.

The previous prime is 12684886297099. The next prime is 12684886297129. The reversal of 12684886297104 is 40179268848621.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3416512 + ... + 6086240.

It is an arithmetic number, because the mean of its divisors is an integer number (238353494400).

Almost surely, 212684886297104 is an apocalyptic number.

12684886297104 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 12684886297104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19068279552000).

12684886297104 is an abundant number, since it is smaller than the sum of its proper divisors (25451672806896).

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

12684886297104 is a wasteful number, since it uses less digits than its factorization.

12684886297104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2670005 (or 2669999 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 66.

The spelling of 12684886297104 in words is "twelve trillion, six hundred eighty-four billion, eight hundred eighty-six million, two hundred ninety-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 79 84 112 158 168 179 237 316 336 358 474 537 553 632 716 948 1074 1106 1253 1264 1432 1659 1896 2148 2212 2506 2864 3318 3759 3792 4296 4424 5012 6636 7518 8592 8848 10024 13272 14141 15036 20048 26544 28282 30072 42423 56564 60144 84846 98987 113128 169692 197974 226256 296961 339384 395948 593922 678768 791896 1187844 1583792 2375688 2669729 4751376 5339458 8009187 10678916 16018374 18688103 21357832 32036748 37376206 42715664 56064309 64073496 74752412 112128618 128146992 149504824 210908591 224257236 299009648 421817182 448514472 477881491 632725773 843634364 897028944 955762982 1265451546 1433644473 1476360137 1687268728 1911525964 2530903092 2867288946 2952720274 3345170437 3374537456 3823051928 4429080411 5061806184 5734577892 5905440548 6690340874 7646103856 8858160822 10035511311 10123612368 11469155784 11810881096 13380681748 17716321644 20071022622 22938311568 23621762192 26761363496 35432643288 37752637789 40142045244 53522726992 70865286576 75505275578 80284090488 113257913367 151010551156 160568180976 226515826734 264268464523 302021102312 453031653468 528536929046 604042204624 792805393569 906063306936 1057073858092 1585610787138 1812126613872 2114147716184 3171221574276 4228295432368 6342443148552 12684886297104