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58183711369 = 7217220272
BaseRepresentation
bin110110001100000001…
…001111101010001001
312120011220220210010221
4312030001033222021
51423130012230434
642421302510041
74126563246400
oct661401175211
9176156823127
1058183711369
1122748208583
12b339735321
1356433860a4
142b5d57a637
1517a807d2b4
hexd8c04fa89

58183711369 has 27 divisors (see below), whose sum is σ = 71934136743. Its totient is φ = 46914963648.

The previous prime is 58183711331. The next prime is 58183711441. The reversal of 58183711369 is 96311738185.

The square root of 58183711369 is 241213.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 45298737225 + 12884974144 = 212835^2 + 113512^2 .

It is not a de Polignac number, because 58183711369 - 223 = 58175322761 is a prime.

It is a super-2 number, since 2×581837113692 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (58183711769) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 28703334 + ... + 28705360.

Almost surely, 258183711369 is an apocalyptic number.

58183711369 is the 241213-rd square number.

58183711369 is the 120607-th centered octagonal number.

It is an amenable number.

58183711369 is a deficient number, since it is larger than the sum of its proper divisors (13750425374).

58183711369 is an frugal number, since it uses more digits than its factorization.

58183711369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4102 (or 2051 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 52.

The spelling of 58183711369 in words is "fifty-eight billion, one hundred eighty-three million, seven hundred eleven thousand, three hundred sixty-nine".

Divisors: 1 7 17 49 119 289 833 2023 2027 14161 14189 34459 99323 241213 585803 1688491 4100621 4108729 28704347 28761103 69848393 201327721 488938751 1187422681 3422571257 8311958767 58183711369