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13865382029 is a prime number
BaseRepresentation
bin11001110100111000…
…01111000010001101
31022210022011101102202
430322130033002031
5211344014211104
610211503131245
71000411542212
oct147234170215
938708141382
1013865382029
115975712814
12282b5a3b25
1313cc767485
14957673b09
155623e151e
hex33a70f08d

13865382029 has 2 divisors, whose sum is σ = 13865382030. Its totient is φ = 13865382028.

The previous prime is 13865382007. The next prime is 13865382049. The reversal of 13865382029 is 92028356831.

13865382029 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., 9779232100 + 4086149929 = 98890^2 + 63923^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13865382029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13865382049) 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, 6932691014 + 6932691015.

It is an arithmetic number, because the mean of its divisors is an integer number (6932691015).

Almost surely, 213865382029 is an apocalyptic number.

It is an amenable number.

13865382029 is a deficient number, since it is larger than the sum of its proper divisors (1).

13865382029 is an equidigital number, since it uses as much as digits as its factorization.

13865382029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 622080, while the sum is 47.

The spelling of 13865382029 in words is "thirteen billion, eight hundred sixty-five million, three hundred eighty-two thousand, twenty-nine".