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58941614985 = 35112229141811
BaseRepresentation
bin110110111001001100…
…011010101110001001
312122010202001021110020
4312321030122232021
51431203023134420
643024415211053
74154425314051
oct667114325611
9178122037406
1058941614985
1122aa7006800
12b50b516a89
1357343ba176
142bd20a8561
1517ee88c340
hexdb931ab89

58941614985 has 48 divisors (see below), whose sum is σ = 104112697920. Its totient is φ = 28452758400.

The previous prime is 58941614983. The next prime is 58941615011.

58941614985 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 58941614985 - 21 = 58941614983 is a prime.

It is a super-3 number, since 3×589416149853 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (58941614981) 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 47 ways as a sum of consecutive naturals, for example, 344730 + ... + 486540.

It is an arithmetic number, because the mean of its divisors is an integer number (2169014540).

Almost surely, 258941614985 is an apocalyptic number.

58941614985 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

58941614985 is a deficient number, since it is larger than the sum of its proper divisors (45171082935).

58941614985 is a wasteful number, since it uses less digits than its factorization.

58941614985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142070 (or 142059 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 60.

The spelling of 58941614985 in words is "fifty-eight billion, nine hundred forty-one million, six hundred fourteen thousand, nine hundred eighty-five".

Divisors: 1 3 5 11 15 33 55 121 165 229 363 605 687 1145 1815 2519 3435 7557 12595 27709 37785 83127 138545 141811 415635 425433 709055 1559921 2127165 4679763 7799605 17159131 23398815 32474719 51477393 85795655 97424157 162373595 257386965 357221909 487120785 1071665727 1786109545 3929440999 5358328635 11788322997 19647204995 58941614985