Search a number
-
+
13788991757 is a prime number
BaseRepresentation
bin11001101011110001…
…10101000100001101
31022120222102100200102
430311320311010031
5211214440214012
610200133540445
7665463332102
oct146570650415
938528370612
1013788991757
115936587662
122809aa4725
1313b999c128
1494b46aaa9
1555a8522c2
hex335e3510d

13788991757 has 2 divisors, whose sum is σ = 13788991758. Its totient is φ = 13788991756.

The previous prime is 13788991709. The next prime is 13788991789. The reversal of 13788991757 is 75719988731.

13788991757 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., 7763195881 + 6025795876 = 88109^2 + 77626^2 .

It is a cyclic number.

It is not a de Polignac number, because 13788991757 - 26 = 13788991693 is a prime.

It is a super-2 number, since 2×137889917572 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13788991693 and 13788991702.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13788991157) 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, 6894495878 + 6894495879.

It is an arithmetic number, because the mean of its divisors is an integer number (6894495879).

Almost surely, 213788991757 is an apocalyptic number.

It is an amenable number.

13788991757 is a deficient number, since it is larger than the sum of its proper divisors (1).

13788991757 is an equidigital number, since it uses as much as digits as its factorization.

13788991757 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 26671680, while the sum is 65.

The spelling of 13788991757 in words is "thirteen billion, seven hundred eighty-eight million, nine hundred ninety-one thousand, seven hundred fifty-seven".