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6806745009 = 348921032
BaseRepresentation
bin1100101011011011…
…01010111110110001
3122120101002110210000
412111231222332301
5102420011320014
63043232100213
7330451243431
oct62555527661
918511073700
106806745009
1129832592a9
12139b694669
13846270a8c
144880122c1
1529c893509
hex195b6afb1

6806745009 has 45 divisors (see below), whose sum is σ = 10384443003. Its totient is φ = 4443281568.

The previous prime is 6806744977. The next prime is 6806745017. The reversal of 6806745009 is 9005476086.

The square root of 6806745009 is 82503.

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

6806745009 is a `hidden beast` number, since 6 + 80 + 67 + 4 + 500 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1307039409 + 5499705600 = 36153^2 + 74160^2 .

It is not a de Polignac number, because 6806745009 - 25 = 6806744977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6806745089) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 66084852 + ... + 66084954.

Almost surely, 26806745009 is an apocalyptic number.

6806745009 is the 82503-rd square number.

6806745009 is the 41252-nd centered octagonal number.

It is an amenable number.

6806745009 is a deficient number, since it is larger than the sum of its proper divisors (3577697994).

6806745009 is an frugal number, since it uses more digits than its factorization.

6806745009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The cubic root of 6806745009 is about 1895.1626725477.

The spelling of 6806745009 in words is "six billion, eight hundred six million, seven hundred forty-five thousand, nine".

Divisors: 1 3 9 27 81 89 103 267 309 801 927 2403 2781 7209 7921 8343 9167 10609 23763 27501 31827 71289 82503 95481 213867 247509 286443 641601 742527 815863 859329 944201 2447589 2832603 7342767 8497809 22028301 25493427 66084903 76480281 84033889 252101667 756305001 2268915003 6806745009