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13836226813 is a prime number
BaseRepresentation
bin11001110001011010…
…00001000011111101
31022201021022010222221
430320231001003331
5211314033224223
610204542205341
7666605662453
oct147055010375
938637263887
1013836226813
115960209aa2
122821883851
1313c66c9b76
149538449d3
1555ea82b5d
hex338b410fd

13836226813 has 2 divisors, whose sum is σ = 13836226814. Its totient is φ = 13836226812.

The previous prime is 13836226793. The next prime is 13836226819. The reversal of 13836226813 is 31862263831.

13836226813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12489850564 + 1346376249 = 111758^2 + 36693^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13836226813 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13836226813.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13836226819) 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 as a sum of consecutive naturals, namely, 6918113406 + 6918113407.

It is an arithmetic number, because the mean of its divisors is an integer number (6918113407).

Almost surely, 213836226813 is an apocalyptic number.

It is an amenable number.

13836226813 is a deficient number, since it is larger than the sum of its proper divisors (1).

13836226813 is an equidigital number, since it uses as much as digits as its factorization.

13836226813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 248832, while the sum is 43.

The spelling of 13836226813 in words is "thirteen billion, eight hundred thirty-six million, two hundred twenty-six thousand, eight hundred thirteen".