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853807575041 = 41186611115941
BaseRepresentation
bin11000110110010101110…
…01011011000000000001
310000121211022120202122022
430123022321123000001
5102442044214400131
61452122255251225
7115454101433441
oct14331271330001
93017738522568
10853807575041
112aa109132283
12119582519b15
136268a806685
142d47863a121
151732209c37b
hexc6cae5b001

853807575041 has 8 divisors (see below), whose sum is σ = 874679803368. Its totient is φ = 832937616000.

The previous prime is 853807575037. The next prime is 853807575091. The reversal of 853807575041 is 140575708358.

It can be written as a sum of positive squares in 4 ways, for example, as 37171840000 + 816635735041 = 192800^2 + 903679^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 853807575041 - 22 = 853807575037 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (853807575091) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 207131 + ... + 1323071.

It is an arithmetic number, because the mean of its divisors is an integer number (109334975421).

Almost surely, 2853807575041 is an apocalyptic number.

It is an amenable number.

853807575041 is a deficient number, since it is larger than the sum of its proper divisors (20872228327).

853807575041 is a wasteful number, since it uses less digits than its factorization.

853807575041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134643.

The product of its (nonzero) digits is 4704000, while the sum is 53.

The spelling of 853807575041 in words is "eight hundred fifty-three billion, eight hundred seven million, five hundred seventy-five thousand, forty-one".

Divisors: 1 41 18661 765101 1115941 45753581 20824575001 853807575041