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6649260849 = 32721123532
BaseRepresentation
bin1100011000101001…
…11010101100110001
3122011101202110010100
412030110322230301
5102104202321344
63015444423013
7323526533100
oct61424725461
918141673110
106649260849
112902375100
1213569a7a69
1381c75149a
1447113a037
1528db36569
hex18c53ab31

6649260849 has 81 divisors (see below), whose sum is σ = 12315478539. Its totient is φ = 3444376320.

The previous prime is 6649260791. The next prime is 6649260869. The reversal of 6649260849 is 9480629466.

The square root of 6649260849 is 81543.

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., 2701400625 + 3947860224 = 51975^2 + 62832^2 .

It is not a de Polignac number, because 6649260849 - 27 = 6649260721 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 6649260795 and 6649260804.

It is not an unprimeable number, because it can be changed into a prime (6649260869) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 18836257 + ... + 18836609.

Almost surely, 26649260849 is an apocalyptic number.

6649260849 is the 81543-rd square number.

6649260849 is the 40772-nd centered octagonal number.

It is an amenable number.

6649260849 is a deficient number, since it is larger than the sum of its proper divisors (5666217690).

6649260849 is a wasteful number, since it uses less digits than its factorization.

6649260849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The cubic root of 6649260849 is about 1880.4326800441.

The spelling of 6649260849 in words is "six billion, six hundred forty-nine million, two hundred sixty thousand, eight hundred forty-nine".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 121 147 231 353 363 441 539 693 847 1059 1089 1617 2471 2541 3177 3883 4851 5929 7413 7623 11649 17297 17787 22239 27181 34947 42713 51891 53361 81543 124609 128139 155673 190267 244629 298991 373827 384417 570801 872263 896973 1121481 1370699 1712403 2092937 2616789 2690919 4112097 6105841 6278811 7850367 9594893 12336291 15077689 18317523 18836433 28784679 45233067 54952569 67164251 86354037 105543823 135699201 201492753 316631469 604478259 738806761 949894407 2216420283 6649260849