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12971766636 = 22321378772999
BaseRepresentation
bin11000001010010110…
…10111001101101100
31020111000200000120100
430011023113031230
5203031233013021
65543101551100
7636311124423
oct140513271554
936430600510
1012971766636
1155572512a4
122620275490
1312b9597b7a
148b0ada2ba
1550dc26626
hex3052d736c

12971766636 has 72 divisors (see below), whose sum is σ = 33077772000. Its totient is φ = 4286036736.

The previous prime is 12971766559. The next prime is 12971766653. The reversal of 12971766636 is 63666717921.

It is a happy number.

12971766636 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 4323865 + ... + 4326863.

It is an arithmetic number, because the mean of its divisors is an integer number (459413500).

Almost surely, 212971766636 is an apocalyptic number.

It is an amenable number.

12971766636 is an abundant number, since it is smaller than the sum of its proper divisors (20106005364).

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

12971766636 is a wasteful number, since it uses less digits than its factorization.

12971766636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4023 (or 4018 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The spelling of 12971766636 in words is "twelve billion, nine hundred seventy-one million, seven hundred sixty-six thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 137 274 411 548 822 877 1233 1644 1754 2466 2631 2999 3508 4932 5262 5998 7893 8997 10524 11996 15786 17994 26991 31572 35988 53982 107964 120149 240298 360447 410863 480596 720894 821726 1081341 1232589 1441788 1643452 2162682 2465178 2630123 3697767 4325364 4930356 5260246 7395534 7890369 10520492 14791068 15780738 23671107 31561476 47342214 94684428 360326851 720653702 1080980553 1441307404 2161961106 3242941659 4323922212 6485883318 12971766636