Search a number
-
+
9952564869 = 321385064657
BaseRepresentation
bin10010100010011100…
…00001011010000101
3221200121111200100200
421101032001122011
5130340324033434
64323330001113
7501430256052
oct112116013205
927617450320
109952564869
114247a66325
121b19116199
13c27c1c650
146a5b36029
153d3b3d199
hex251381685

9952564869 has 12 divisors (see below), whose sum is σ = 15481767756. Its totient is φ = 6124655232.

The previous prime is 9952564841. The next prime is 9952564889. The reversal of 9952564869 is 9684652599.

9952564869 is a `hidden beast` number, since 9 + 9 + 5 + 2 + 564 + 8 + 69 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 531533025 + 9421031844 = 23055^2 + 97062^2 .

It is not a de Polignac number, because 9952564869 - 217 = 9952433797 is a prime.

It is a super-2 number, since 2×99525648692 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9952564889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42532212 + ... + 42532445.

It is an arithmetic number, because the mean of its divisors is an integer number (1290147313).

Almost surely, 29952564869 is an apocalyptic number.

It is an amenable number.

9952564869 is a deficient number, since it is larger than the sum of its proper divisors (5529202887).

9952564869 is a wasteful number, since it uses less digits than its factorization.

9952564869 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85064676 (or 85064673 counting only the distinct ones).

The product of its digits is 41990400, while the sum is 63.

The square root of 9952564869 is about 99762.5424144754. The cubic root of 9952564869 is about 2151.0227597612.

The spelling of 9952564869 in words is "nine billion, nine hundred fifty-two million, five hundred sixty-four thousand, eight hundred sixty-nine".

Divisors: 1 3 9 13 39 117 85064657 255193971 765581913 1105840541 3317521623 9952564869