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10265433625 = 53666112329
BaseRepresentation
bin10011000111101111…
…00001011000011001
3222111102020001121101
421203313201120121
5132010422334000
64414343511401
7512246513626
oct114367413031
928442201541
1010265433625
11439862a247
121ba5a58561
13c779a49a5
146d54d934d
1540133ee6a
hex263de1619

10265433625 has 16 divisors (see below), whose sum is σ = 12814223760. Its totient is φ = 8210448000.

The previous prime is 10265433613. The next prime is 10265433637. The reversal of 10265433625 is 52633456201.

10265433625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10265433613) and next prime (10265433637).

It can be written as a sum of positive squares in 8 ways, for example, as 4354284169 + 5911149456 = 65987^2 + 76884^2 .

It is not a de Polignac number, because 10265433625 - 213 = 10265425433 is a prime.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 826461 + ... + 838789.

It is an arithmetic number, because the mean of its divisors is an integer number (800888985).

Almost surely, 210265433625 is an apocalyptic number.

It is an amenable number.

10265433625 is a deficient number, since it is larger than the sum of its proper divisors (2548790135).

10265433625 is an equidigital number, since it uses as much as digits as its factorization.

10265433625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19005 (or 18995 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

Adding to 10265433625 its reverse (52633456201), we get a palindrome (62898889826).

The spelling of 10265433625 in words is "ten billion, two hundred sixty-five million, four hundred thirty-three thousand, six hundred twenty-five".

Divisors: 1 5 25 125 6661 12329 33305 61645 166525 308225 832625 1541125 82123469 410617345 2053086725 10265433625