Search a number
-
+
36421435125 = 325332374609
BaseRepresentation
bin100001111010111000…
…101111111011110101
310111000021100121100200
4201322320233323311
51044042341411000
624422021431113
72426362043025
oct417270577365
9114007317320
1036421435125
111449aa50309
12708556b499
133585868b5a
141a971dba85
15e3275b500
hex87ae2fef5

36421435125 has 24 divisors (see below), whose sum is σ = 65655709080. Its totient is φ = 19424764800.

The previous prime is 36421435109. The next prime is 36421435133. The reversal of 36421435125 is 52153412463.

36421435125 is a `hidden beast` number, since 3 + 642 + 1 + 4 + 3 + 5 + 1 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9269645841 + 27151789284 = 96279^2 + 164778^2 .

It is not a de Polignac number, because 36421435125 - 24 = 36421435109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 36421435125.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 16186180 + ... + 16188429.

It is an arithmetic number, because the mean of its divisors is an integer number (2735654545).

Almost surely, 236421435125 is an apocalyptic number.

It is an amenable number.

36421435125 is a deficient number, since it is larger than the sum of its proper divisors (29234273955).

36421435125 is a wasteful number, since it uses less digits than its factorization.

36421435125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32374630 (or 32374617 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

Adding to 36421435125 its reverse (52153412463), we get a palindrome (88574847588).

The spelling of 36421435125 in words is "thirty-six billion, four hundred twenty-one million, four hundred thirty-five thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 1125 32374609 97123827 161873045 291371481 485619135 809365225 1456857405 2428095675 4046826125 7284287025 12140478375 36421435125