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6743858641 = 13263172
BaseRepresentation
bin1100100011111011…
…10001110111010001
3122101222202111220021
412101331301313101
5102302411434031
63033104143441
7326055565312
oct62175616721
918358674807
106743858641
1129508068a3
121382607b81
13836223100
1447d922609
152970c0511
hex191f71dd1

6743858641 has 9 divisors (see below), whose sum is σ = 7303677681. Its totient is φ = 6224114832.

The previous prime is 6743858617. The next prime is 6743858659. The reversal of 6743858641 is 1468583476.

The square root of 6743858641 is 82121.

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 802532241 + 5941326400 = 28329^2 + 77080^2 .

It is not a de Polignac number, because 6743858641 - 223 = 6735470033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6743858441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1064415 + ... + 1070731.

Almost surely, 26743858641 is an apocalyptic number.

6743858641 is the 82121-st square number.

6743858641 is the 41061-st centered octagonal number.

It is an amenable number.

6743858641 is a deficient number, since it is larger than the sum of its proper divisors (559819040).

6743858641 is an frugal number, since it uses more digits than its factorization.

6743858641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12660 (or 6330 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 52.

The cubic root of 6743858641 is about 1889.3082433378.

The spelling of 6743858641 in words is "six billion, seven hundred forty-three million, eight hundred fifty-eight thousand, six hundred forty-one".

Divisors: 1 13 169 6317 82121 1067573 39904489 518758357 6743858641