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4817331649 = 1321922812
BaseRepresentation
bin1000111110010001…
…01010010111000001
3110102201122210200201
410133020222113001
534331214103044
62114004045201
7230243433454
oct43710522701
913381583621
104817331649
112052292629
12b25393801
135ba062300
14339b1149b
151d2dc27d4
hex11f22a5c1

4817331649 has 27 divisors (see below), whose sum is σ = 5525059689. Its totient is φ = 4197735360.

The previous prime is 4817331647. The next prime is 4817331677. The reversal of 4817331649 is 9461337184.

The square root of 4817331649 is 69407.

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

4817331649 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 211266225 + 4606065424 = 14535^2 + 67868^2 .

It is not a de Polignac number, because 4817331649 - 21 = 4817331647 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4817331599 and 4817331608.

It is not an unprimeable number, because it can be changed into a prime (4817331641) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17143389 + ... + 17143669.

Almost surely, 24817331649 is an apocalyptic number.

4817331649 is the 69407-th square number.

4817331649 is the 34704-th centered octagonal number.

It is an amenable number.

4817331649 is a deficient number, since it is larger than the sum of its proper divisors (707728040).

4817331649 is an equidigital number, since it uses as much as digits as its factorization.

4817331649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 313 counting only the distinct ones).

The product of its digits is 435456, while the sum is 46.

The cubic root of 4817331649 is about 1688.8931806025.

The spelling of 4817331649 in words is "four billion, eight hundred seventeen million, three hundred thirty-one thousand, six hundred forty-nine".

Divisors: 1 13 19 169 247 281 361 3211 3653 4693 5339 47489 61009 69407 78961 101441 902291 1026493 1318733 1500259 13344409 17143529 19503367 28504921 253543771 370563973 4817331649