Search a number
-
+
10563348225 = 352178284979
BaseRepresentation
bin10011101011001111…
…11110011100000001
31000021011210200121110
421311213332130001
5133113204120400
64504105113533
7522524656413
oct116547763401
930234720543
1010563348225
114530809961
1220697888a9
13cc4622511
14722cc89b3
1541c58ae50
hex2759fe701

10563348225 has 24 divisors (see below), whose sum is σ = 18492075360. Its totient is φ = 5302385920.

The previous prime is 10563348203. The next prime is 10563348227. The reversal of 10563348225 is 52284336501.

It is a happy number.

It is not a de Polignac number, because 10563348225 - 27 = 10563348097 is a prime.

It is a super-2 number, since 2×105633482252 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10563348227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4141215 + ... + 4143764.

It is an arithmetic number, because the mean of its divisors is an integer number (770503140).

Almost surely, 210563348225 is an apocalyptic number.

10563348225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10563348225 is a deficient number, since it is larger than the sum of its proper divisors (7928727135).

10563348225 is a wasteful number, since it uses less digits than its factorization.

10563348225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8285009 (or 8285004 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 10563348225 in words is "ten billion, five hundred sixty-three million, three hundred forty-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 15 17 25 51 75 85 255 425 1275 8284979 24854937 41424895 124274685 140844643 207124475 422533929 621373425 704223215 2112669645 3521116075 10563348225