Search a number
-
+
14067568513 = 531814613181
BaseRepresentation
bin11010001100111111…
…00000111110000001
31100022101121112011001
431012133200332001
5212302244143023
610243524452001
71005415234165
oct150637407601
940271545131
1014067568513
115a69859489
12288724a001
131432608a4b
14976464ca5
1557502d6ad
hex3467e0f81

14067568513 has 16 divisors (see below), whose sum is σ = 14447985552. Its totient is φ = 13691808000.

The previous prime is 14067568477. The next prime is 14067568549. The reversal of 14067568513 is 31586576041.

It is a happy number.

14067568513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14067568477) and next prime (14067568549).

It can be written as a sum of positive squares in 8 ways, for example, as 4120099344 + 9947469169 = 64188^2 + 99737^2 .

It is not a de Polignac number, because 14067568513 - 29 = 14067568001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14067568583) 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 15 ways as a sum of consecutive naturals, for example, 4420783 + ... + 4423963.

It is an arithmetic number, because the mean of its divisors is an integer number (902999097).

Almost surely, 214067568513 is an apocalyptic number.

It is an amenable number.

14067568513 is a deficient number, since it is larger than the sum of its proper divisors (380417039).

14067568513 is a wasteful number, since it uses less digits than its factorization.

14067568513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3876.

The product of its (nonzero) digits is 604800, while the sum is 46.

The spelling of 14067568513 in words is "fourteen billion, sixty-seven million, five hundred sixty-eight thousand, five hundred thirteen".

Divisors: 1 53 181 461 3181 9593 24433 83441 168593 575761 1466441 4422373 30515333 77721373 265425821 14067568513