Search a number
-
+
6729131719249 = 25940572
BaseRepresentation
bin110000111101011111110…
…0000010111101001010001
3212211022001202111121201221
41201322333200113221101
51340222230210003444
622151153114125041
71263110104603612
oct141727740275121
925738052447657
106729131719249
112164899477985
12908198720781
1339a729022b24
141939980bbc09
15ba090805a84
hex61ebf817a51

6729131719249 has 3 divisors (see below), whose sum is σ = 6729134313307. Its totient is φ = 6729129125192.

The previous prime is 6729131719237. The next prime is 6729131719253. The reversal of 6729131719249 is 9429171319276.

The square root of 6729131719249 is 2594057.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 3655533683025 + 3073598036224 = 1911945^2 + 1753168^2 .

It is not a de Polignac number, because 6729131719249 - 29 = 6729131718737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6729131719259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1297029 + ... + 3891085.

Almost surely, 26729131719249 is an apocalyptic number.

6729131719249 is the 2594057-th square number.

6729131719249 is the 1297029-th centered octagonal number.

It is an amenable number.

6729131719249 is a deficient number, since it is larger than the sum of its proper divisors (2594058).

6729131719249 is an frugal number, since it uses more digits than its factorization.

6729131719249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5188114 (or 2594057 counting only the distinct ones).

The product of its digits is 10287648, while the sum is 61.

The spelling of 6729131719249 in words is "six trillion, seven hundred twenty-nine billion, one hundred thirty-one million, seven hundred nineteen thousand, two hundred forty-nine".

Divisors: 1 2594057 6729131719249