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85805260029 = 3217560818693
BaseRepresentation
bin100111111101001100…
…1000101110011111101
322012110220201211122200
41033322121011303331
52401212121310104
6103230212302113
76125222450646
oct1177231056375
9265426654580
1085805260029
1133431917945
1214768011939
138125a68818
14421db746cd
152372e8ab39
hex13fa645cfd

85805260029 has 12 divisors (see below), whose sum is σ = 131231574396. Its totient is φ = 53838594432.

The previous prime is 85805260007. The next prime is 85805260091. The reversal of 85805260029 is 92006250858.

85805260029 is a `hidden beast` number, since 8 + 580 + 5 + 2 + 60 + 0 + 2 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 64925588025 + 20879672004 = 254805^2 + 144498^2 .

It is not a de Polignac number, because 85805260029 - 29 = 85805259517 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85805260129) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 280409194 + ... + 280409499.

It is an arithmetic number, because the mean of its divisors is an integer number (10935964533).

Almost surely, 285805260029 is an apocalyptic number.

It is an amenable number.

85805260029 is a deficient number, since it is larger than the sum of its proper divisors (45426314367).

85805260029 is a wasteful number, since it uses less digits than its factorization.

85805260029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560818716 (or 560818713 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 85805260029 in words is "eighty-five billion, eight hundred five million, two hundred sixty thousand, twenty-nine".

Divisors: 1 3 9 17 51 153 560818693 1682456079 5047368237 9533917781 28601753343 85805260029