Search a number
-
+
13278183361 = 13928292
BaseRepresentation
bin11000101110111000…
…01111111111000001
31021021101020121021221
430113130033333001
5204143203331421
610033325315041
7650021460562
oct142734177701
937241217257
1013278183361
1156a4208763
1226a6a05a81
131337c01541
148dd6a0169
1552aaa1841
hex31770ffc1

13278183361 has 9 divisors (see below), whose sum is σ = 13390549731. Its totient is φ = 13166754984.

The previous prime is 13278183313. The next prime is 13278183487. The reversal of 13278183361 is 16338187231.

The square root of 13278183361 is 115231.

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., 7644179761 + 5634003600 = 87431^2 + 75060^2 .

It is not a de Polignac number, because 13278183361 - 221 = 13276086209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13278183301) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16016695 + ... + 16017523.

It is an arithmetic number, because the mean of its divisors is an integer number (1487838859).

Almost surely, 213278183361 is an apocalyptic number.

13278183361 is the 115231-st square number.

13278183361 is the 57616-th centered octagonal number.

It is an amenable number.

13278183361 is a deficient number, since it is larger than the sum of its proper divisors (112366370).

13278183361 is an frugal number, since it uses more digits than its factorization.

13278183361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1936 (or 968 counting only the distinct ones).

The product of its digits is 145152, while the sum is 43.

The spelling of 13278183361 in words is "thirteen billion, two hundred seventy-eight million, one hundred eighty-three thousand, three hundred sixty-one".

Divisors: 1 139 829 19321 115231 687241 16017109 95526499 13278183361