Search a number
-
+
58029312933 = 3237388944809
BaseRepresentation
bin110110000010110100…
…010000101110100101
312112210011101112022100
4312002310100232211
51422321001003213
642354105322313
74123010010234
oct660264205645
9175704345270
1058029312933
1122679041769
12b2b5a96399
13561a3a7177
142b46c68b1b
151799730773
hexd82d10ba5

58029312933 has 24 divisors (see below), whose sum is σ = 86109584600. Its totient is φ = 37630116864.

The previous prime is 58029312917. The next prime is 58029312989. The reversal of 58029312933 is 33921392085.

58029312933 is a `hidden beast` number, since 580 + 2 + 9 + 31 + 2 + 9 + 33 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32301794529 + 25727518404 = 179727^2 + 160398^2 .

It is not a de Polignac number, because 58029312933 - 24 = 58029312917 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58029312833) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1272633 + ... + 1317441.

Almost surely, 258029312933 is an apocalyptic number.

It is an amenable number.

58029312933 is a deficient number, since it is larger than the sum of its proper divisors (28080271667).

58029312933 is a wasteful number, since it uses less digits than its factorization.

58029312933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48741 (or 48738 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 58029312933 in words is "fifty-eight billion, twenty-nine million, three hundred twelve thousand, nine hundred thirty-three".

Divisors: 1 3 9 37 111 333 3889 11667 35001 44809 134427 143893 403281 431679 1295037 1657933 4973799 14921397 174262201 522786603 1568359809 6447701437 19343104311 58029312933