Search a number
-
+
87509053341 = 3217571954597
BaseRepresentation
bin101000101111111110…
…0100010111110011101
322100212122201111200200
41101133330202332131
52413204304201331
6104111234414113
76215361452253
oct1213774427635
9270778644620
1087509053341
1134126640a96
1214b62731339
138337a42848
1443421665d3
15242283d5e6
hex145ff22f9d

87509053341 has 12 divisors (see below), whose sum is σ = 133837375932. Its totient is φ = 54907641216.

The previous prime is 87509053301. The next prime is 87509053349. The reversal of 87509053341 is 14335090578.

87509053341 is a `hidden beast` number, since 8 + 75 + 0 + 9 + 0 + 533 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52849412100 + 34659641241 = 229890^2 + 186171^2 .

It is not a de Polignac number, because 87509053341 - 225 = 87475498909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87509053349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 285977146 + ... + 285977451.

It is an arithmetic number, because the mean of its divisors is an integer number (11153114661).

Almost surely, 287509053341 is an apocalyptic number.

It is an amenable number.

87509053341 is a deficient number, since it is larger than the sum of its proper divisors (46328322591).

87509053341 is a wasteful number, since it uses less digits than its factorization.

87509053341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571954620 (or 571954617 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 87509053341 in words is "eighty-seven billion, five hundred nine million, fifty-three thousand, three hundred forty-one".

Divisors: 1 3 9 17 51 153 571954597 1715863791 5147591373 9723228149 29169684447 87509053341