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2095716141 = 321491977933
BaseRepresentation
bin111110011101010…
…0001011100101101
312102001110102002100
41330322201130231
513243000404031
6543542245313
7102635202411
oct17472413455
95361412070
102095716141
11985a82612
124a5a26839
1327524b02c
1415c492d41
15c3ebcde6
hex7cea172d

2095716141 has 24 divisors (see below), whose sum is σ = 3063317400. Its totient is φ = 1380548736.

The previous prime is 2095716127. The next prime is 2095716143. The reversal of 2095716141 is 1416175902.

2095716141 is a `hidden beast` number, since 20 + 9 + 571 + 61 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 295496100 + 1800220041 = 17190^2 + 42429^2 .

It is not a de Polignac number, because 2095716141 - 25 = 2095716109 is a prime.

It is a super-2 number, since 2×20957161412 = 8784052287295863762, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2095716096 and 2095716105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2095716143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 260211 + ... + 268143.

It is an arithmetic number, because the mean of its divisors is an integer number (127638225).

Almost surely, 22095716141 is an apocalyptic number.

It is an amenable number.

2095716141 is a deficient number, since it is larger than the sum of its proper divisors (967601259).

2095716141 is a wasteful number, since it uses less digits than its factorization.

2095716141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8285 (or 8282 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 2095716141 is about 45778.9923545724. The cubic root of 2095716141 is about 1279.7078070431.

The spelling of 2095716141 in words is "two billion, ninety-five million, seven hundred sixteen thousand, one hundred forty-one".

Divisors: 1 3 9 149 197 447 591 1341 1773 7933 23799 29353 71397 88059 264177 1182017 1562801 3546051 4688403 10638153 14065209 232857349 698572047 2095716141