Search a number
-
+
4162636125 = 325313212801
BaseRepresentation
bin1111100000011100…
…1100100101011101
3101202002201211021100
43320013030211131
532011113324000
61525015423313
7205103552244
oct37007144535
911662654240
104162636125
11184677714a
12982084b39
13514525ccb
142b6bab95b
1519569da00
hexf81cc95d

4162636125 has 48 divisors (see below), whose sum is σ = 7512206832. Its totient is φ = 2217600000.

The previous prime is 4162636081. The next prime is 4162636139. The reversal of 4162636125 is 5216362614.

4162636125 is a `hidden beast` number, since 4 + 1 + 6 + 2 + 636 + 12 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 477903321 + 3684732804 = 21861^2 + 60702^2 .

It is not a de Polignac number, because 4162636125 - 26 = 4162636061 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4162636125.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1484725 + ... + 1487525.

It is an arithmetic number, because the mean of its divisors is an integer number (156504309).

Almost surely, 24162636125 is an apocalyptic number.

4162636125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4162636125 is a deficient number, since it is larger than the sum of its proper divisors (3349570707).

4162636125 is a wasteful number, since it uses less digits than its factorization.

4162636125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4143 (or 4130 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 4162636125 is about 64518.4944415165. The cubic root of 4162636125 is about 1608.6299475909.

Adding to 4162636125 its reverse (5216362614), we get a palindrome (9378998739).

The spelling of 4162636125 in words is "four billion, one hundred sixty-two million, six hundred thirty-six thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 1125 1321 2801 3963 6605 8403 11889 14005 19815 25209 33025 42015 59445 70025 99075 126045 165125 210075 297225 350125 495375 630225 1050375 1486125 3151125 3700121 11100363 18500605 33301089 55501815 92503025 166505445 277509075 462515125 832527225 1387545375 4162636125