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132463010205 = 3452931116277
BaseRepresentation
bin111101101011101101…
…0010010000110011101
3110122220120112010110000
41323113122102012131
54132241012311310
6140504102004513
712366362003061
oct1732732220635
9418816463400
10132463010205
11511a4a09159
1221809716739
13c650252616
1465a864baa1
1536a41d44c0
hex1ed769219d

132463010205 has 40 divisors (see below), whose sum is σ = 238262841432. Its totient is φ = 70405759872.

The previous prime is 132463010191. The next prime is 132463010213. The reversal of 132463010205 is 502010364231.

132463010205 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 630 + 1 + 0 + 20 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 77449776804 + 55013233401 = 278298^2 + 234549^2 .

It is not a de Polignac number, because 132463010205 - 232 = 128168042909 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 439474 + ... + 676803.

Almost surely, 2132463010205 is an apocalyptic number.

132463010205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132463010205 is a deficient number, since it is larger than the sum of its proper divisors (105799831227).

132463010205 is a wasteful number, since it uses less digits than its factorization.

132463010205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116587 (or 1116578 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 132463010205 its reverse (502010364231), we get a palindrome (634473374436).

The spelling of 132463010205 in words is "one hundred thirty-two billion, four hundred sixty-three million, ten thousand, two hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 293 405 879 1465 2637 4395 7911 13185 23733 39555 118665 1116277 3348831 5581385 10046493 16744155 30139479 50232465 90418437 150697395 327069161 452092185 981207483 1635345805 2943622449 4906037415 8830867347 14718112245 26492602041 44154336735 132463010205