Search a number
-
+
9656010225 = 325265512
BaseRepresentation
bin10001111111000101…
…10000010111110001
3220220221111010212100
420333202300113301
5124233414311400
64234053451013
7461166506211
oct107742602761
926827433770
109656010225
114105625444
121a55940a69
13bab659b24
146785bc241
153b7ab0100
hex23f8b05f1

9656010225 has 27 divisors (see below), whose sum is σ = 17297627659. Its totient is φ = 5149086000.

The previous prime is 9656010223. The next prime is 9656010227. The reversal of 9656010225 is 5220106569.

The square root of 9656010225 is 98265.

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

9656010225 is a `hidden beast` number, since 96 + 560 + 1 + 0 + 2 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (9656010223) and next prime (9656010227).

It can be written as a sum of positive squares in only one way, i.e., 3476163681 + 6179846544 = 58959^2 + 78612^2 .

It is not a de Polignac number, because 9656010225 - 21 = 9656010223 is a prime.

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 9656010225.

It is not an unprimeable number, because it can be changed into a prime (9656010223) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1470700 + ... + 1477250.

Almost surely, 29656010225 is an apocalyptic number.

9656010225 is the 98265-th square number.

9656010225 is the 49133-rd centered octagonal number.

It is an amenable number.

9656010225 is a deficient number, since it is larger than the sum of its proper divisors (7641617434).

9656010225 is an frugal number, since it uses more digits than its factorization.

9656010225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13118 (or 6559 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The cubic root of 9656010225 is about 2129.4424415133.

Multiplying 9656010225 by its sum of digits (36), we get a square (347616368100 = 5895902).

Multiplying 9656010225 by its product of nonzero digits (32400), we get a square (312854731290000 = 176877002).

The spelling of 9656010225 in words is "nine billion, six hundred fifty-six million, ten thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 6551 19653 32755 58959 98265 163775 294795 491325 1473975 42915601 128746803 214578005 386240409 643734015 1072890025 1931202045 3218670075 9656010225