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6801328530 = 2325293770429
BaseRepresentation
bin1100101010110010…
…00000100110010010
3122112222220021202200
412111121000212102
5102412120003110
63042520024030
7330354224103
oct62531004622
918488807680
106801328530
112980199877
121399902016
138450c5569
144874023aa
1529c1736c0
hex195640992

6801328530 has 96 divisors (see below), whose sum is σ = 18787906800. Its totient is φ = 1703794176.

The previous prime is 6801328517. The next prime is 6801328543. The reversal of 6801328530 is 358231086.

It is an interprime number because it is at equal distance from previous prime (6801328517) and next prime (6801328543).

It can be written as a sum of positive squares in 8 ways, for example, as 4515436809 + 2285891721 = 67197^2 + 47811^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61356 + ... + 131784.

Almost surely, 26801328530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6801328530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9393953400).

6801328530 is an abundant number, since it is smaller than the sum of its proper divisors (11986578270).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6801328530 is a wasteful number, since it uses less digits than its factorization.

6801328530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70508 (or 70505 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 6801328530 is about 82470.1675152900. The cubic root of 6801328530 is about 1894.6598461682.

The spelling of 6801328530 in words is "six billion, eight hundred one million, three hundred twenty-eight thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 37 45 58 74 87 90 111 145 174 185 222 261 290 333 370 435 522 555 666 870 1073 1110 1305 1665 2146 2610 3219 3330 5365 6438 9657 10730 16095 19314 32190 48285 70429 96570 140858 211287 352145 422574 633861 704290 1056435 1267722 2042441 2112870 2605873 3169305 4084882 5211746 6127323 6338610 7817619 10212205 12254646 13029365 15635238 18381969 20424410 23452857 26058730 30636615 36763938 39088095 46905714 61273230 75570317 78176190 91909845 117264285 151140634 183819690 226710951 234528570 377851585 453421902 680132853 755703170 1133554755 1360265706 2267109510 3400664265 6801328530