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14287659961 = 23251972
BaseRepresentation
bin11010100111001110…
…00110001110111001
31100212201202022212011
431103213012032321
5213230120104321
610321430045521
71014030051211
oct152347061671
940781668764
1014287659961
116072014443
122928aa98a1
1314690a8c83
14997797241
15589505ae1
hex3539c63b9

14287659961 has 9 divisors (see below), whose sum is σ = 14938745871. Its totient is φ = 13663827672.

The previous prime is 14287659949. The next prime is 14287660003. The reversal of 14287659961 is 16995678241.

The square root of 14287659961 is 119531.

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

It can be written as a sum of positive squares in only one way, i.e., 6535914025 + 7751745936 = 80845^2 + 88044^2 .

It is not a de Polignac number, because 14287659961 - 211 = 14287657913 is a prime.

It is a super-2 number, since 2×142876599612 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14287659896 and 14287659905.

It is not an unprimeable number, because it can be changed into a prime (14287659761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2746615 + ... + 2751811.

Almost surely, 214287659961 is an apocalyptic number.

14287659961 is the 119531-st square number.

14287659961 is the 59766-th centered octagonal number.

It is an amenable number.

14287659961 is a deficient number, since it is larger than the sum of its proper divisors (651085910).

14287659961 is an frugal number, since it uses more digits than its factorization.

14287659961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10440 (or 5220 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 58.

The spelling of 14287659961 in words is "fourteen billion, two hundred eighty-seven million, six hundred fifty-nine thousand, nine hundred sixty-one".

Divisors: 1 23 529 5197 119531 2749213 27008809 621202607 14287659961