Search a number
-
+
10524061633 = 172921346981
BaseRepresentation
bin10011100110100100…
…00110111111000001
31000011102212201112111
421303102012333001
5133023124433013
64500143055321
7521540022301
oct116322067701
930142781474
1010524061633
1145106162a8
1220585a1541
13cb9448607
1471b9bd601
15418dca73d
hex273486fc1

10524061633 has 8 divisors (see below), whose sum is σ = 11527370280. Its totient is φ = 9563447040.

The previous prime is 10524061619. The next prime is 10524061679. The reversal of 10524061633 is 33616042501.

10524061633 is digitally balanced in base 2, 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 5229025344 + 5295036289 = 72312^2 + 72767^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10524061633 - 225 = 10490507201 is a prime.

It is a super-2 number, since 2×105240616332 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10524061595 and 10524061604.

It is not an unprimeable number, because it can be changed into a prime (10524061333) 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 7 ways as a sum of consecutive naturals, for example, 10672998 + ... + 10673983.

It is an arithmetic number, because the mean of its divisors is an integer number (1440921285).

Almost surely, 210524061633 is an apocalyptic number.

It is an amenable number.

10524061633 is a deficient number, since it is larger than the sum of its proper divisors (1003308647).

10524061633 is a wasteful number, since it uses less digits than its factorization.

10524061633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21347027.

The product of its (nonzero) digits is 12960, while the sum is 31.

The spelling of 10524061633 in words is "ten billion, five hundred twenty-four million, sixty-one thousand, six hundred thirty-three".

Divisors: 1 17 29 493 21346981 362898677 619062449 10524061633