Search a number
-
+
13501817729 is a prime number
BaseRepresentation
bin11001001001100010…
…10110001110000001
31021211222001101222022
430210301112032001
5210122431131404
610111434451225
7655405362041
oct144461261601
937758041868
1013501817729
1157a9473554
122749893b15
13137234227a
14921275721
155405288be
hex324c56381

13501817729 has 2 divisors, whose sum is σ = 13501817730. Its totient is φ = 13501817728.

The previous prime is 13501817701. The next prime is 13501817743. The reversal of 13501817729 is 92771810531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7383449329 + 6118368400 = 85927^2 + 78220^2 .

It is a cyclic number.

It is not a de Polignac number, because 13501817729 - 28 = 13501817473 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13501817729.

It is not a weakly prime, because it can be changed into another prime (13501817759) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6750908864 + 6750908865.

It is an arithmetic number, because the mean of its divisors is an integer number (6750908865).

Almost surely, 213501817729 is an apocalyptic number.

It is an amenable number.

13501817729 is a deficient number, since it is larger than the sum of its proper divisors (1).

13501817729 is an equidigital number, since it uses as much as digits as its factorization.

13501817729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 105840, while the sum is 44.

The spelling of 13501817729 in words is "thirteen billion, five hundred one million, eight hundred seventeen thousand, seven hundred twenty-nine".