Search a number
-
+
6469145761 = 1322322692
BaseRepresentation
bin1100000011001011…
…10101010010100001
3121200211211122200011
412001211311102201
5101222100131021
62545532124521
7316211555161
oct60145652241
917624748604
106469145761
11281a733a61
121306606741
137c133a100
144552525a1
1527ce08de1
hex1819754a1

6469145761 has 27 divisors (see below), whose sum is σ = 7350184569. Its totient is φ = 5690654112.

The previous prime is 6469145747. The next prime is 6469145777. The reversal of 6469145761 is 1675419646.

The square root of 6469145761 is 80431.

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 4073630625 + 2395515136 = 63825^2 + 48944^2 .

It is not a de Polignac number, because 6469145761 - 25 = 6469145729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6469145791) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24048735 + ... + 24049003.

Almost surely, 26469145761 is an apocalyptic number.

6469145761 is the 80431-st square number.

6469145761 is the 40216-th centered octagonal number.

It is an amenable number.

6469145761 is a deficient number, since it is larger than the sum of its proper divisors (881038808).

6469145761 is an equidigital number, since it uses as much as digits as its factorization.

6469145761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 305 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 49.

The cubic root of 6469145761 is about 1863.2979760132.

Multiplying 6469145761 by its sum of digits (49), we get a square (316988142289 = 5630172).

The spelling of 6469145761 in words is "six billion, four hundred sixty-nine million, one hundred forty-five thousand, seven hundred sixty-one".

Divisors: 1 13 23 169 269 299 529 3497 3887 6187 6877 45461 72361 80431 89401 142301 940693 1045603 1664303 1849913 12229009 21635939 24048869 38278969 281267207 497626597 6469145761