Search a number
-
+
14873601761 is a prime number
BaseRepresentation
bin11011101101000100…
…10010011011100001
31102101120022020220022
431312202102123201
5220430120224021
610455520523225
71034403346304
oct156642223341
942346266808
1014873601761
116342840167
122a71180515
1315305c1ab5
14a11520b3b
155c0b981ab
hex3768926e1

14873601761 has 2 divisors, whose sum is σ = 14873601762. Its totient is φ = 14873601760.

The previous prime is 14873601749. The next prime is 14873601763. The reversal of 14873601761 is 16710637841.

It is a happy number.

14873601761 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., 9851753536 + 5021848225 = 99256^2 + 70865^2 .

It is a cyclic number.

It is not a de Polignac number, because 14873601761 - 210 = 14873600737 is a prime.

It is a super-2 number, since 2×148736017612 (a number of 21 digits) contains 22 as substring.

Together with 14873601763, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (14873601763) 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, 7436800880 + 7436800881.

It is an arithmetic number, because the mean of its divisors is an integer number (7436800881).

Almost surely, 214873601761 is an apocalyptic number.

It is an amenable number.

14873601761 is a deficient number, since it is larger than the sum of its proper divisors (1).

14873601761 is an equidigital number, since it uses as much as digits as its factorization.

14873601761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 169344, while the sum is 44.

The spelling of 14873601761 in words is "fourteen billion, eight hundred seventy-three million, six hundred one thousand, seven hundred sixty-one".