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8243005681 = 16325572
BaseRepresentation
bin1111010110101001…
…00100100011110001
3210021110200002000201
413223110210203301
5113340202140211
63441540115201
7411161251351
oct75324444361
923243602021
108243005681
11354aa64199
121720695b01
13a149a7071
14582a82b61
153339ec0c1
hex1eb5248f1

8243005681 has 9 divisors (see below), whose sum is σ = 8308803531. Its totient is φ = 8177726952.

The previous prime is 8243005609. The next prime is 8243005711. The reversal of 8243005681 is 1865003428.

It is a happy number.

The square root of 8243005681 is 90791.

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

It can be written as a sum of positive squares in only one way, i.e., 723341025 + 7519664656 = 26895^2 + 86716^2 .

It is not a de Polignac number, because 8243005681 - 219 = 8242481393 is a prime.

It is a super-2 number, since 2×82430056812 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8243005681.

It is not an unprimeable number, because it can be changed into a prime (8243005481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14798655 + ... + 14799211.

Almost surely, 28243005681 is an apocalyptic number.

8243005681 is the 90791-st square number.

8243005681 is the 45396-th centered octagonal number.

It is an amenable number.

8243005681 is a deficient number, since it is larger than the sum of its proper divisors (65797850).

8243005681 is an frugal number, since it uses more digits than its factorization.

8243005681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The cubic root of 8243005681 is about 2020.0488241801.

The spelling of 8243005681 in words is "eight billion, two hundred forty-three million, five thousand, six hundred eighty-one".

Divisors: 1 163 557 26569 90791 310249 14798933 50570587 8243005681