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2085516917 = 11217235677
BaseRepresentation
bin111110001001110…
…0111011001110101
312101100021020101022
41330103213121311
513232343020132
6542535510525
7102452413151
oct17423473165
95340236338
102085516917
11980246800
124a2528445
132730b98a3
1415ad9a061
15c3155e12
hex7c4e7675

2085516917 has 6 divisors (see below), whose sum is σ = 2292345174. Its totient is φ = 1895924360.

The previous prime is 2085516913. The next prime is 2085516943. The reversal of 2085516917 is 7196155802.

It can be written as a sum of positive squares in only one way, i.e., 1839466321 + 246050596 = 42889^2 + 15686^2 .

It is not a de Polignac number, because 2085516917 - 22 = 2085516913 is a prime.

It is a super-2 number, since 2×20855169172 = 8698761622186369778, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2085516913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8617718 + ... + 8617959.

It is an arithmetic number, because the mean of its divisors is an integer number (382057529).

Almost surely, 22085516917 is an apocalyptic number.

It is an amenable number.

2085516917 is a deficient number, since it is larger than the sum of its proper divisors (206828257).

2085516917 is a wasteful number, since it uses less digits than its factorization.

2085516917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17235699 (or 17235688 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 44.

The square root of 2085516917 is about 45667.4601549068. The cubic root of 2085516917 is about 1277.6284450542.

The spelling of 2085516917 in words is "two billion, eighty-five million, five hundred sixteen thousand, nine hundred seventeen".

Divisors: 1 11 121 17235677 189592447 2085516917