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12688336083282 = 2319296162917577
BaseRepresentation
bin1011100010100011101111…
…0000111101100101010010
31122220222210221212010202220
42320220323300331211102
53130341203014131112
642552535141121510
72446462540124646
oct270507360754522
948828727763686
1012688336083282
114052102a31202
12150b1020b9296
13710674517952
1431c193b8cc26
151700bcee298c
hexb8a3bc3d952

12688336083282 has 64 divisors (see below), whose sum is σ = 28086406819200. Its totient is φ = 3805254996480.

The previous prime is 12688336083259. The next prime is 12688336083389. The reversal of 12688336083282 is 28238063388621.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31257123 + ... + 31660454.

It is an arithmetic number, because the mean of its divisors is an integer number (438850106550).

Almost surely, 212688336083282 is an apocalyptic number.

12688336083282 is an abundant number, since it is smaller than the sum of its proper divisors (15398070735918).

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

12688336083282 is a wasteful number, since it uses less digits than its factorization.

12688336083282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62917691.

The product of its (nonzero) digits is 31850496, while the sum is 60.

The spelling of 12688336083282 in words is "twelve trillion, six hundred eighty-eight billion, three hundred thirty-six million, eighty-three thousand, two hundred eighty-two".

Divisors: 1 2 3 6 19 29 38 57 58 61 87 114 122 174 183 366 551 1102 1159 1653 1769 2318 3306 3477 3538 5307 6954 10614 33611 67222 100833 201666 62917577 125835154 188752731 377505462 1195433963 1824609733 2390867926 3586301889 3649219466 3837972197 5473829199 7172603778 7675944394 10947658398 11513916591 23027833182 34667584927 69335169854 72921471743 104002754781 111301193713 145842943486 208005509562 218764415229 222602387426 333903581139 437528830458 667807162278 2114722680547 4229445361094 6344168041641 12688336083282