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13700013837 = 3137167199601
BaseRepresentation
bin11001100001001010…
…11001111100001101
31022100202222210220220
430300211121330031
5211024200420322
610143234501553
7663333124206
oct146045317415
938322883826
1013700013837
1158a0334194
1227a41348b9
1313a4417483
1493d7085ad
15552b2855c
hex330959f0d

13700013837 has 16 divisors (see below), whose sum is σ = 18510291072. Its totient is φ = 9012339200.

The previous prime is 13700013809. The next prime is 13700013853. The reversal of 13700013837 is 73831000731.

13700013837 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13700013837 - 27 = 13700013709 is a prime.

13700013837 is a modest number, since divided by 13837 gives 137 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 13700013798 and 13700013807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13700015837) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 31164 + ... + 168437.

It is an arithmetic number, because the mean of its divisors is an integer number (1156893192).

Almost surely, 213700013837 is an apocalyptic number.

It is an amenable number.

13700013837 is a deficient number, since it is larger than the sum of its proper divisors (4810277235).

13700013837 is a wasteful number, since it uses less digits than its factorization.

13700013837 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199908.

The product of its (nonzero) digits is 10584, while the sum is 33.

The spelling of 13700013837 in words is "thirteen billion, seven hundred million, thirteen thousand, eight hundred thirty-seven".

Divisors: 1 3 137 167 411 501 22879 68637 199601 598803 27345337 33333367 82036011 100000101 4566671279 13700013837