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12381468468568 = 2343367201748623
BaseRepresentation
bin1011010000101100100100…
…0001111010010101011000
31121211122201211022010201021
42310023021001322111120
53110324221411443233
642155545035132224
72415350221340053
oct264131101722530
947748654263637
1012381468468568
113a43a51191371
12147b7408a4074
136ba74b9554c4
1430b3a2911a9a
1516710c969e2d
hexb42c907a558

12381468468568 has 64 divisors (see below), whose sum is σ = 23832170588160. Its totient is φ = 6027173784576.

The previous prime is 12381468468517. The next prime is 12381468468571. The reversal of 12381468468568 is 86586486418321.

It is a super-2 number, since 2×123814684685682 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12381468468497 and 12381468468506.

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 15 ways as a sum of consecutive naturals, for example, 254617905 + ... + 254666527.

It is an arithmetic number, because the mean of its divisors is an integer number (372377665440).

Almost surely, 212381468468568 is an apocalyptic number.

It is an amenable number.

12381468468568 is a deficient number, since it is larger than the sum of its proper divisors (11450702119592).

12381468468568 is a wasteful number, since it uses less digits than its factorization.

12381468468568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51056 (or 51052 counting only the distinct ones).

The product of its digits is 424673280, while the sum is 70.

The spelling of 12381468468568 in words is "twelve trillion, three hundred eighty-one billion, four hundred sixty-eight million, four hundred sixty-eight thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 43 86 172 344 367 734 1468 2017 2936 4034 8068 15781 16136 31562 48623 63124 86731 97246 126248 173462 194492 346924 388984 693848 740239 1480478 2090789 2960956 4181578 5921912 8363156 16726312 17844641 31830277 35689282 63660554 71378564 98072591 127321108 142757128 196145182 254642216 392290364 767319563 784580728 1534639126 3069278252 4217121413 6138556504 8434242826 16868485652 33736971304 35992640897 71985281794 143970563588 287941127176 1547683558571 3095367117142 6190734234284 12381468468568