Search a number
-
+
13197644161 = 13288372
BaseRepresentation
bin11000100101010010…
…00001000110000001
31021001202200210021121
430102221001012001
5204012044103121
610021331152241
7645023060452
oct142251010601
937052623247
1013197644161
1156627a9439
122683a45681
131324312900
148d2ad7129
15523993141
hex312a41181

13197644161 has 9 divisors (see below), whose sum is σ = 14292557481. Its totient is φ = 12181062192.

The previous prime is 13197644137. The next prime is 13197644171. The reversal of 13197644161 is 16144679131.

The square root of 13197644161 is 114881.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1757202561 + 11440441600 = 41919^2 + 106960^2 .

It is not a de Polignac number, because 13197644161 - 29 = 13197643649 is a prime.

It is a super-2 number, since 2×131976441612 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13197644171) 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, 1489035 + ... + 1497871.

Almost surely, 213197644161 is an apocalyptic number.

13197644161 is the 114881-st square number.

13197644161 is the 57441-st centered octagonal number.

It is an amenable number.

13197644161 is a deficient number, since it is larger than the sum of its proper divisors (1094913320).

13197644161 is an frugal number, since it uses more digits than its factorization.

13197644161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17700 (or 8850 counting only the distinct ones).

The product of its digits is 108864, while the sum is 43.

The spelling of 13197644161 in words is "thirteen billion, one hundred ninety-seven million, six hundred forty-four thousand, one hundred sixty-one".

Divisors: 1 13 169 8837 114881 1493453 78092569 1015203397 13197644161