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13836240837 = 322953012417
BaseRepresentation
bin11001110001011010…
…00100011111000101
31022201021022212020100
430320231010133011
5211314034201322
610204542354313
7666606051366
oct147055043705
938637285210
1013836240837
115960219591
12282188b999
1313c6703373
14953849b6d
1555ea86dac
hex338b447c5

13836240837 has 12 divisors (see below), whose sum is σ = 20674843020. Its totient is φ = 8906085888.

The previous prime is 13836240833. The next prime is 13836240877. The reversal of 13836240837 is 73804263831.

13836240837 is a `hidden beast` number, since 13 + 8 + 3 + 624 + 0 + 8 + 3 + 7 = 666.

13836240837 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9463592961 + 4372647876 = 97281^2 + 66126^2 .

It is not a de Polignac number, because 13836240837 - 22 = 13836240833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13836240792 and 13836240801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13836240833) 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 11 ways as a sum of consecutive naturals, for example, 26505948 + ... + 26506469.

It is an arithmetic number, because the mean of its divisors is an integer number (1722903585).

Almost surely, 213836240837 is an apocalyptic number.

It is an amenable number.

13836240837 is a deficient number, since it is larger than the sum of its proper divisors (6838602183).

13836240837 is a wasteful number, since it uses less digits than its factorization.

13836240837 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53012452 (or 53012449 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 13836240837 in words is "thirteen billion, eight hundred thirty-six million, two hundred forty thousand, eight hundred thirty-seven".

Divisors: 1 3 9 29 87 261 53012417 159037251 477111753 1537360093 4612080279 13836240837