Search a number
-
+
13966748761 = 72168832
BaseRepresentation
bin11010000000111101…
…11010110001011001
31100001100220100110011
431000132322301121
5212100441430021
610225523521521
71003052256100
oct150036726131
940040810404
1013966748761
115a17958079
1228595292a1
1314177690a4
14966cdd037
1556b265de1
hex3407bac59

13966748761 has 9 divisors (see below), whose sum is σ = 16247996661. Its totient is φ = 11970789852.

The previous prime is 13966748759. The next prime is 13966748791. The reversal of 13966748761 is 16784766931.

The square root of 13966748761 is 118181.

It is a perfect power (a square), and thus also a powerful number.

13966748761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13966748761 - 21 = 13966748759 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13966748696 and 13966748705.

It is not an unprimeable number, because it can be changed into a prime (13966748791) 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 in 8 ways as a sum of consecutive naturals, for example, 818826 + ... + 835708.

Almost surely, 213966748761 is an apocalyptic number.

13966748761 is the 118181-st square number.

13966748761 is the 59091-st centered octagonal number.

It is an amenable number.

13966748761 is a deficient number, since it is larger than the sum of its proper divisors (2281247900).

13966748761 is an frugal number, since it uses more digits than its factorization.

13966748761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33780 (or 16890 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 58.

It can be divided in two parts, 139 and 66748761, that added together give a square (66748900 = 81702).

The spelling of 13966748761 in words is "thirteen billion, nine hundred sixty-six million, seven hundred forty-eight thousand, seven hundred sixty-one".

Divisors: 1 7 49 16883 118181 827267 285035689 1995249823 13966748761