Search a number
-
+
9965656025 = 5213314492203
BaseRepresentation
bin10010100011111111…
…11101011111011001
3221201112010210001022
421101333331133121
5130402201443100
64324514332225
7501646451513
oct112177753731
927645123038
109965656025
114254397966
121b2158a075
13c2a8541b0
146a7782bb3
153d4d76e85
hex251ffd7d9

9965656025 has 48 divisors (see below), whose sum is σ = 13774118400. Its totient is φ = 7102771200.

The previous prime is 9965655991. The next prime is 9965656031. The reversal of 9965656025 is 5206565699.

9965656025 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9965656025 - 210 = 9965655001 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4522574 + ... + 4524776.

It is an arithmetic number, because the mean of its divisors is an integer number (286960800).

Almost surely, 29965656025 is an apocalyptic number.

It is an amenable number.

9965656025 is a deficient number, since it is larger than the sum of its proper divisors (3808462375).

9965656025 is a wasteful number, since it uses less digits than its factorization.

9965656025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2706 (or 2701 counting only the distinct ones).

The product of its (nonzero) digits is 4374000, while the sum is 53.

The square root of 9965656025 is about 99828.1324326965. The cubic root of 9965656025 is about 2151.9654660675.

The spelling of 9965656025 in words is "nine billion, nine hundred sixty-five million, six hundred fifty-six thousand, twenty-five".

Divisors: 1 5 13 25 31 65 155 325 403 449 775 2015 2203 2245 5837 10075 11015 11225 13919 28639 29185 55075 68293 69595 143195 145925 180947 341465 347975 715975 887809 904735 989147 1707325 4439045 4523675 4945735 12858911 22195225 24728675 30663557 64294555 153317785 321472775 398626241 766588925 1993131205 9965656025