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58912100121985 = 5113973612695607
BaseRepresentation
bin11010110010100100010101…
…10011001111110110000001
321201120221102112211122010121
431121102022303033312001
530210203440112400420
6325143502320300241
715260154521515435
oct1531221263176601
9251527375748117
1058912100121985
1117853532757930
126735687171681
1326b45058c1c16
14107950a2b09c5
156c268b54d2aa
hex35948accfd81

58912100121985 has 16 divisors (see below), whose sum is σ = 77121517398912. Its totient is φ = 42845040006400.

The previous prime is 58912100121943. The next prime is 58912100121997.

58912100121985 is nontrivially palindromic in base 10.

58912100121985 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 58912100121985 - 219 = 58912099597697 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20507052 + ... + 23202658.

It is an arithmetic number, because the mean of its divisors is an integer number (4820094837432).

Almost surely, 258912100121985 is an apocalyptic number.

58912100121985 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

58912100121985 is a deficient number, since it is larger than the sum of its proper divisors (18209417276927).

58912100121985 is a wasteful number, since it uses less digits than its factorization.

58912100121985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3092984.

The product of its (nonzero) digits is 518400, while the sum is 52.

The spelling of 58912100121985 in words is "fifty-eight trillion, nine hundred twelve billion, one hundred million, one hundred twenty-one thousand, nine hundred eighty-five".

Divisors: 1 5 11 55 397361 1986805 2695607 4370971 13478035 21854855 29651677 148258385 1071129093127 5355645465635 11782420024397 58912100121985