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6329316249 = 3223211532
BaseRepresentation
bin1011110010100000…
…11011001110011001
3121100002201120122100
411321100123032121
5100430301104444
62524015114013
7312563205024
oct57120331631
917302646570
106329316249
112758808a83
121287812909
1379b38c559
144408541bb
152709d7e69
hex17941b399

6329316249 has 27 divisors (see below), whose sum is σ = 9565417407. Its totient is φ = 4032585216.

The previous prime is 6329316193. The next prime is 6329316313. The reversal of 6329316249 is 9426139236.

The square root of 6329316249 is 79557.

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

6329316249 is a `hidden beast` number, since 6 + 329 + 316 + 2 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5002025625 + 1327290624 = 70725^2 + 36432^2 .

It is not a de Polignac number, because 6329316249 - 219 = 6328791961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6329316649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5488857 + ... + 5490009.

Almost surely, 26329316249 is an apocalyptic number.

6329316249 is a gapful number since it is divisible by the number (69) formed by its first and last digit.

6329316249 is the 79557-th square number.

6329316249 is the 39779-th centered octagonal number.

It is an amenable number.

6329316249 is a deficient number, since it is larger than the sum of its proper divisors (3236101158).

6329316249 is an equidigital number, since it uses as much as digits as its factorization.

6329316249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358 (or 1179 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The cubic root of 6329316249 is about 1849.7751125711.

The spelling of 6329316249 in words is "six billion, three hundred twenty-nine million, three hundred sixteen thousand, two hundred forty-nine".

Divisors: 1 3 9 23 69 207 529 1153 1587 3459 4761 10377 26519 79557 238671 609937 1329409 1829811 3988227 5489433 11964681 30576407 91729221 275187663 703257361 2109772083 6329316249