Search a number
-
+
52580132829 = 3371331320897
BaseRepresentation
bin110000111110000001…
…010010011111011101
312000201101210111111000
4300332001102133131
51330141003222304
640053250420513
73540661516620
oct607601223735
9160641714430
1052580132829
1120332129034
12a234b91739
134c5c477b43
14278b27ddb7
15157b14d939
hexc3e0527dd

52580132829 has 32 divisors (see below), whose sum is σ = 89035511040. Its totient is φ = 30042095616.

The previous prime is 52580132819. The next prime is 52580132831. The reversal of 52580132829 is 92823108525.

52580132829 is a `hidden beast` number, since 52 + 580 + 13 + 2 + 8 + 2 + 9 = 666.

It is not a de Polignac number, because 52580132829 - 225 = 52546578397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52580132819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2505709 + ... + 2526605.

It is an arithmetic number, because the mean of its divisors is an integer number (2782359720).

Almost surely, 252580132829 is an apocalyptic number.

It is an amenable number.

52580132829 is a deficient number, since it is larger than the sum of its proper divisors (36455378211).

52580132829 is a wasteful number, since it uses less digits than its factorization.

52580132829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34226 (or 34220 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 52580132829 in words is "fifty-two billion, five hundred eighty million, one hundred thirty-two thousand, eight hundred twenty-nine".

Divisors: 1 3 7 9 21 27 63 189 13313 20897 39939 62691 93191 119817 146279 188073 279573 359451 438837 564219 838719 1316511 2516157 3949533 278201761 834605283 1947412327 2503815849 5842236981 7511447547 17526710943 52580132829