Search a number
-
+
27268247161 = 37244632
BaseRepresentation
bin11001011001010100…
…000110111001111001
32121101101000110222001
4121121110012321321
5421321132402121
620305445101001
71653506163601
oct313124067171
977341013861
1027268247161
111062323a761
1253500b7761
1327574418bc
14146970bc01
15a98dc0991
hex659506e79

27268247161 has 9 divisors (see below), whose sum is σ = 28031426031. Its totient is φ = 26525322792.

The previous prime is 27268247131. The next prime is 27268247173. The reversal of 27268247161 is 16174286272.

The square root of 27268247161 is 165131.

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., 24400002025 + 2868245136 = 156205^2 + 53556^2 .

It is not a de Polignac number, because 27268247161 - 225 = 27234692729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27268247101) 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, 6107616 + ... + 6112078.

Almost surely, 227268247161 is an apocalyptic number.

27268247161 is the 165131-st square number.

27268247161 is the 82566-th centered octagonal number.

It is an amenable number.

27268247161 is a deficient number, since it is larger than the sum of its proper divisors (763178870).

27268247161 is an frugal number, since it uses more digits than its factorization.

27268247161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9000 (or 4500 counting only the distinct ones).

The product of its digits is 451584, while the sum is 46.

The spelling of 27268247161 in words is "twenty-seven billion, two hundred sixty-eight million, two hundred forty-seven thousand, one hundred sixty-one".

Divisors: 1 37 1369 4463 165131 6109847 19918369 736979653 27268247161