Search a number
-
+
13978569361 = 13728632
BaseRepresentation
bin11010000010011000…
…00000101010010001
31100002012010220021011
431001030000222101
5212112003204421
610231025130521
71003254610351
oct150114005221
940065126234
1013978569361
115a235a1069
122861489a41
13141a047523
149686d8b61
1556c2ed4e1
hex341300a91

13978569361 has 9 divisors (see below), whose sum is σ = 14097683131. Its totient is φ = 13860456592.

The previous prime is 13978569349. The next prime is 13978569391. The reversal of 13978569361 is 16396587931.

It is a happy number.

The square root of 13978569361 is 118231.

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., 8211078225 + 5767491136 = 90615^2 + 75944^2 .

It is not a de Polignac number, because 13978569361 - 213 = 13978561169 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13978569296 and 13978569305.

It is not an unprimeable number, because it can be changed into a prime (13978569331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16197216 + ... + 16198078.

Almost surely, 213978569361 is an apocalyptic number.

13978569361 is the 118231-st square number.

13978569361 is the 59116-th centered octagonal number.

It is an amenable number.

13978569361 is a deficient number, since it is larger than the sum of its proper divisors (119113770).

13978569361 is an frugal number, since it uses more digits than its factorization.

13978569361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000 (or 1000 counting only the distinct ones).

The product of its digits is 7348320, while the sum is 58.

It can be divided in two parts, 1397 and 8569361, that added together give a palindrome (8570758).

The spelling of 13978569361 in words is "thirteen billion, nine hundred seventy-eight million, five hundred sixty-nine thousand, three hundred sixty-one".

Divisors: 1 137 863 18769 118231 744769 16197647 102033353 13978569361