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12706934006837 = 722512261945677
BaseRepresentation
bin1011100011101001000001…
…0010011010010000110101
31122222202211002010112201102
42320322100102122100311
53131142300101204322
643005252423135445
72451021445640300
oct270722022322065
948882732115642
1012706934006837
114059a86a83464
1215128325a4585
13712349597945
1431d039b81b37
1517080ab08792
hexb8e9049a435

12706934006837 has 24 divisors (see below), whose sum is σ = 14841407075040. Its totient is φ = 10847547564000.

The previous prime is 12706934006813. The next prime is 12706934006849. The reversal of 12706934006837 is 73860043960721.

It is not a de Polignac number, because 12706934006837 - 28 = 12706934006581 is a prime.

It is a super-2 number, since 2×127069340068372 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12706934006807) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 278168243 + ... + 278213919.

It is an arithmetic number, because the mean of its divisors is an integer number (618391961460).

Almost surely, 212706934006837 is an apocalyptic number.

It is an amenable number.

12706934006837 is a deficient number, since it is larger than the sum of its proper divisors (2134473068203).

12706934006837 is a wasteful number, since it uses less digits than its factorization.

12706934006837 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68561 (or 68554 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 56.

The spelling of 12706934006837 in words is "twelve trillion, seven hundred six billion, nine hundred thirty-four million, six thousand, eight hundred thirty-seven".

Divisors: 1 7 49 251 1757 12299 22619 45677 158333 319739 1108331 2238173 5677369 11464927 39741583 80254489 278191081 561781423 1033168063 7232176441 50625235087 259325183813 1815276286691 12706934006837