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13643426135664 = 24321324130241307
BaseRepresentation
bin1100011010001001101110…
…0100010111111001110000
31210022022001211021211211200
43012202123210113321300
53242013214042320124
645003411535411200
72605463550460053
oct306423344277160
953268054254750
1013643426135664
114390165408806
12164422b983b00
1377c753442090
143524b98c8a9a
15189d6bba7bc9
hexc689b917e70

13643426135664 has 120 divisors (see below), whose sum is σ = 41290393256112. Its totient is φ = 4180558141440.

The previous prime is 13643426135659. The next prime is 13643426135671. The reversal of 13643426135664 is 46653162434631.

13643426135664 is a `hidden beast` number, since 1 + 3 + 6 + 43 + 4 + 26 + 13 + 566 + 4 = 666.

13643426135664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×136434261356642 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13643426135664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14669502 + ... + 15571805.

Almost surely, 213643426135664 is an apocalyptic number.

It is an amenable number.

13643426135664 is an abundant number, since it is smaller than the sum of its proper divisors (27646967120448).

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

13643426135664 is a wasteful number, since it uses less digits than its factorization.

13643426135664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30241575 (or 30241566 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 54.

The spelling of 13643426135664 in words is "thirteen trillion, six hundred forty-three billion, four hundred twenty-six million, one hundred thirty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 241 312 468 482 624 723 936 964 1446 1872 1928 2169 2892 3133 3856 4338 5784 6266 8676 9399 11568 12532 17352 18798 25064 28197 34704 37596 50128 56394 75192 112788 150384 225576 451152 30241307 60482614 90723921 120965228 181447842 241930456 272171763 362895684 393136991 483860912 544343526 725791368 786273982 1088687052 1179410973 1451582736 1572547964 2177374104 2358821946 3145095928 3538232919 4354748208 4717643892 6290191856 7076465838 7288154987 9435287784 14152931676 14576309974 18870575568 21864464961 28305863352 29152619948 43728929922 56611726704 58305239896 65593394883 87457859844 94746014831 116610479792 131186789766 174915719688 189492029662 262373579532 284238044493 349831439376 378984059324 524747159064 568476088986 757968118648 852714133479 1049494318128 1136952177972 1515936237296 1705428266958 2273904355944 3410856533916 4547808711888 6821713067832 13643426135664