Search a number
-
+
58024842085 = 571797520743
BaseRepresentation
bin110110000010100011…
…001101001101100101
312112202211222101110101
4312002203031031211
51422313324421320
642353425424101
74122624006550
oct660243151545
9175684871411
1058024842085
1122676568751
12b2b449b031
1356194a01b2
142b46423697
15179914ac0a
hexd828cd365

58024842085 has 16 divisors (see below), whose sum is σ = 84257922816. Its totient is φ = 37447964928.

The previous prime is 58024842061. The next prime is 58024842097.

58024842085 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 58024842085 - 27 = 58024841957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48759777 + ... + 48760966.

It is an arithmetic number, because the mean of its divisors is an integer number (5266120176).

Almost surely, 258024842085 is an apocalyptic number.

It is an amenable number.

58024842085 is a deficient number, since it is larger than the sum of its proper divisors (26233080731).

58024842085 is a wasteful number, since it uses less digits than its factorization.

58024842085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97520772.

The product of its (nonzero) digits is 819200, while the sum is 46.

The spelling of 58024842085 in words is "fifty-eight billion, twenty-four million, eight hundred forty-two thousand, eighty-five".

Divisors: 1 5 7 17 35 85 119 595 97520743 487603715 682645201 1657852631 3413226005 8289263155 11604968417 58024842085