Search a number
-
+
30632607825 = 35211310333499
BaseRepresentation
bin11100100001110110…
…001000000001010001
32221001211122201011120
4130201312020001101
51000213421422300
622023351032453
72133050604351
oct344166100121
987054581146
1030632607825
1111a9a343716
125b2a96b729
132b72469961
1416a847cb61
15be44383a0
hex721d88051

30632607825 has 48 divisors (see below), whose sum is σ = 51158184000. Its totient is φ = 16172513280.

The previous prime is 30632607779. The next prime is 30632607827. The reversal of 30632607825 is 52870623603.

It is a happy number.

It is not a de Polignac number, because 30632607825 - 27 = 30632607697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (30632607827) 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 47 ways as a sum of consecutive naturals, for example, 8752926 + ... + 8756424.

It is an arithmetic number, because the mean of its divisors is an integer number (1065795500).

Almost surely, 230632607825 is an apocalyptic number.

It is an amenable number.

30632607825 is a deficient number, since it is larger than the sum of its proper divisors (20525576175).

30632607825 is a wasteful number, since it uses less digits than its factorization.

30632607825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4658 (or 4653 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 30632607825 in words is "thirty billion, six hundred thirty-two million, six hundred seven thousand, eight hundred twenty-five".

Divisors: 1 3 5 15 25 75 113 339 565 1033 1695 2825 3099 3499 5165 8475 10497 15495 17495 25825 52485 77475 87475 116729 262425 350187 395387 583645 1186161 1750935 1976935 2918225 3614467 5930805 8754675 9884675 10843401 18072335 29654025 54217005 90361675 271085025 408434771 1225304313 2042173855 6126521565 10210869275 30632607825