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85491271073 = 13411131579041
BaseRepresentation
bin100111110011110101…
…1010100010110100001
322011200000220112210002
41033213223110112201
52400041231133243
6103135114345345
76114360546155
oct1174753242641
9264600815702
1085491271073
113329065933a
121469aa2b255
1380a59b0640
1441d019d065
152355616eb8
hex13e7ad45a1

85491271073 has 32 divisors (see below), whose sum is σ = 95764328352. Its totient is φ = 75814502400.

The previous prime is 85491271043. The next prime is 85491271091. The reversal of 85491271073 is 37017219458.

It can be written as a sum of positive squares in 16 ways, for example, as 56743051264 + 28748219809 = 238208^2 + 169553^2 .

It is not a de Polignac number, because 85491271073 - 210 = 85491270049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85491271003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9451433 + ... + 9460473.

It is an arithmetic number, because the mean of its divisors is an integer number (2992635261).

Almost surely, 285491271073 is an apocalyptic number.

It is an amenable number.

85491271073 is a deficient number, since it is larger than the sum of its proper divisors (10273057279).

85491271073 is a wasteful number, since it uses less digits than its factorization.

85491271073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9365.

The product of its (nonzero) digits is 423360, while the sum is 47.

The spelling of 85491271073 in words is "eighty-five billion, four hundred ninety-one million, two hundred seventy-one thousand, seventy-three".

Divisors: 1 13 41 113 157 533 1469 2041 4633 6437 9041 17741 60229 83681 117533 230633 370681 727381 1021633 1419437 4818853 9455953 13281229 18452681 41886953 58196917 160396381 544530389 756559921 2085152953 6576251621 85491271073