Search a number
-
+
58219416369 = 32804292
BaseRepresentation
bin110110001110001001…
…011100101100110001
312120021102002210012100
4312032021130230301
51423213132310434
642425020051013
74130505605532
oct661611345461
9176242083170
1058219416369
1122766385244
12b349693a69
13564a8a79ca
142b641d2689
1517ab282699
hexd8e25cb31

58219416369 has 9 divisors (see below), whose sum is σ = 84095758123. Its totient is φ = 38812461672.

The previous prime is 58219416331. The next prime is 58219416397. The reversal of 58219416369 is 96361491285.

The square root of 58219416369 is 241287.

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

58219416369 is a `hidden beast` number, since 5 + 8 + 219 + 416 + 3 + 6 + 9 = 666.

58219416369 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4608644769 + 53610771600 = 67887^2 + 231540^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2k-58219416369 is a prime.

It is a super-2 number, since 2×582194163692 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (58219416869) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 683647 + ... + 764075.

Almost surely, 258219416369 is an apocalyptic number.

58219416369 is the 241287-th square number.

58219416369 is the 120644-th centered octagonal number.

It is an amenable number.

58219416369 is a deficient number, since it is larger than the sum of its proper divisors (25876341754).

58219416369 is an frugal number, since it uses more digits than its factorization.

58219416369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160864 (or 80432 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 58219416369 in words is "fifty-eight billion, two hundred nineteen million, four hundred sixteen thousand, three hundred sixty-nine".

Divisors: 1 3 9 80429 241287 723861 6468824041 19406472123 58219416369