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13841028513 = 321329099953
BaseRepresentation
bin11001110001111110…
…10101010110100001
31022201121100002200200
430320333111112201
5211321300403023
610205233135413
7666664541544
oct147077252641
938647302620
1013841028513
115962999644
1228233ba569
1313c76bb600
1495433485b
155601d0743
hex338fd55a1

13841028513 has 18 divisors (see below), whose sum is σ = 21648790566. Its totient is φ = 8517555072.

The previous prime is 13841028479. The next prime is 13841028557. The reversal of 13841028513 is 31582014831.

13841028513 is a `hidden beast` number, since 1 + 38 + 4 + 102 + 8 + 513 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 858021264 + 12983007249 = 29292^2 + 113943^2 .

It is not a de Polignac number, because 13841028513 - 29 = 13841028001 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13841020513) 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 17 ways as a sum of consecutive naturals, for example, 4548456 + ... + 4551497.

It is an arithmetic number, because the mean of its divisors is an integer number (1202710587).

Almost surely, 213841028513 is an apocalyptic number.

13841028513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13841028513 is a deficient number, since it is larger than the sum of its proper divisors (7807762053).

13841028513 is a wasteful number, since it uses less digits than its factorization.

13841028513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9099985 (or 9099969 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 13841028513 in words is "thirteen billion, eight hundred forty-one million, twenty-eight thousand, five hundred thirteen".

Divisors: 1 3 9 13 39 117 169 507 1521 9099953 27299859 81899577 118299389 354898167 1064694501 1537892057 4613676171 13841028513