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12711687713523 = 3323291931365537
BaseRepresentation
bin1011100011111010101110…
…1000010111001011110011
31200000020002101001212101000
42320332223220113023303
53131232014023313043
643011400235413043
72451250320531411
oct270765350271363
950006071055330
1012711687713523
114060aa6359677
12151373a5b4183
137129263b1036
1431d36b2502b1
151709d810e2d3
hexb8faba172f3

12711687713523 has 64 divisors (see below), whose sum is σ = 20339119180800. Its totient is φ = 7822411914240.

The previous prime is 12711687713453. The next prime is 12711687713533. The reversal of 12711687713523 is 32531778611721.

It is a happy number.

12711687713523 is a `hidden beast` number, since 1 + 27 + 1 + 1 + 6 + 87 + 7 + 13 + 523 = 666.

It is not a de Polignac number, because 12711687713523 - 234 = 12694507844339 is a prime.

It is a super-2 number, since 2×127116877135232 (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 12711687713523.

It is not an unprimeable number, because it can be changed into a prime (12711687713533) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34592611 + ... + 34958147.

It is an arithmetic number, because the mean of its divisors is an integer number (317798737200).

Almost surely, 212711687713523 is an apocalyptic number.

12711687713523 is a deficient number, since it is larger than the sum of its proper divisors (7627431467277).

12711687713523 is a wasteful number, since it uses less digits than its factorization.

12711687713523 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367529 (or 367523 counting only the distinct ones).

The product of its digits is 2963520, while the sum is 54.

The spelling of 12711687713523 in words is "twelve trillion, seven hundred eleven billion, six hundred eighty-seven million, seven hundred thirteen thousand, five hundred twenty-three".

Divisors: 1 3 9 23 27 29 69 87 207 261 621 667 783 1931 2001 5793 6003 17379 18009 44413 52137 55999 133239 167997 365537 399717 503991 1096611 1199151 1287977 1511973 3289833 3863931 8407351 9869499 10600573 11591793 25222053 31801719 34775379 75666159 95405157 226998477 243813179 286215471 705851947 731439537 2117555841 2194318611 6352667523 6582955833 16234594781 19058002569 20469706463 48703784343 61409119389 146111353029 184227358167 438334059087 470803248649 552682074501 1412409745947 4237229237841 12711687713523