Search a number
-
+
82390009329 = 3417541110597
BaseRepresentation
bin100110010111011010…
…0111100010111110001
321212122220100010110000
41030232310330113301
52322213320244304
6101503251500213
75644462344555
oct1145664742761
9255586303400
1082390009329
1131a3a015501
1213b742b7669
137a00333214
143db8357865
15222321e939
hex132ed3c5f1

82390009329 has 40 divisors (see below), whose sum is σ = 130558284648. Its totient is φ = 51599669760.

The previous prime is 82390009327. The next prime is 82390009349. The reversal of 82390009329 is 92390009328.

It can be written as a sum of positive squares in 4 ways, for example, as 25872079104 + 56517930225 = 160848^2 + 237735^2 .

It is not a de Polignac number, because 82390009329 - 21 = 82390009327 is a prime.

It is a super-2 number, since 2×823900093292 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82390009321) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 689659 + ... + 800255.

Almost surely, 282390009329 is an apocalyptic number.

It is an amenable number.

82390009329 is a deficient number, since it is larger than the sum of its proper divisors (48168275319).

82390009329 is a wasteful number, since it uses less digits than its factorization.

82390009329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111167 (or 111158 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

Subtracting 82390009329 from its reverse (92390009328), we obtain a palindrome (9999999999).

The spelling of 82390009329 in words is "eighty-two billion, three hundred ninety million, nine thousand, three hundred twenty-nine".

Divisors: 1 3 9 17 27 51 81 153 459 541 1377 1623 4869 9197 14607 27591 43821 82773 110597 248319 331791 744957 995373 1880149 2986119 5640447 8958357 16921341 50764023 59832977 152292069 179498931 538496793 1017160609 1615490379 3051481827 4846471137 9154445481 27463336443 82390009329