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75985795717 = 13358812
BaseRepresentation
bin100011011000100011…
…0110011101010000101
321021010120200100221021
41012301012303222011
52221104330430332
654523555151141
75326666415056
oct1066106635205
9237116610837
1075985795717
112a253000a87
12128875a54b1
13721c5ac000
14396b9a872d
151e9ad8ec97
hex11b11b3a85

75985795717 has 12 divisors (see below), whose sum is σ = 82329062340. Its totient is φ = 70128807840.

The previous prime is 75985795709. The next prime is 75985795729. The reversal of 75985795717 is 71759758957.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 25192355841 + 50793439876 = 158721^2 + 225374^2 .

It is not a de Polignac number, because 75985795717 - 23 = 75985795709 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75985795757) 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 11 ways as a sum of consecutive naturals, for example, 12917617 + ... + 12923497.

It is an arithmetic number, because the mean of its divisors is an integer number (6860755195).

Almost surely, 275985795717 is an apocalyptic number.

It is an amenable number.

75985795717 is a deficient number, since it is larger than the sum of its proper divisors (6343266623).

75985795717 is an frugal number, since it uses more digits than its factorization.

75985795717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11801 (or 5894 counting only the distinct ones).

The product of its digits is 194481000, while the sum is 70.

The spelling of 75985795717 in words is "seventy-five billion, nine hundred eighty-five million, seven hundred ninety-five thousand, seven hundred seventeen".

Divisors: 1 13 169 2197 5881 76453 993889 12920557 34586161 449620093 5845061209 75985795717