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135563532065 = 5133756367373
BaseRepresentation
bin111111001000000110…
…1110101011100100001
3110221220122200221211222
41332100031311130201
54210113231011230
6142135500544425
712536251003313
oct1762015653441
9427818627758
10135563532065
1152546097115
1222333b52115
13ca25701040
1467c033d7b3
1537d64d26e5
hex1f90375721

135563532065 has 16 divisors (see below), whose sum is σ = 179924657808. Its totient is φ = 97402818816.

The previous prime is 135563532047. The next prime is 135563532077. The reversal of 135563532065 is 560235365531.

It can be written as a sum of positive squares in 8 ways, for example, as 8016695296 + 127546836769 = 89536^2 + 357137^2 .

It is a cyclic number.

It is not a de Polignac number, because 135563532065 - 26 = 135563532001 is a prime.

It is a super-3 number, since 3×1355635320653 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 28181282 + ... + 28186091.

It is an arithmetic number, because the mean of its divisors is an integer number (11245291113).

Almost surely, 2135563532065 is an apocalyptic number.

It is an amenable number.

135563532065 is a deficient number, since it is larger than the sum of its proper divisors (44361125743).

135563532065 is a wasteful number, since it uses less digits than its factorization.

135563532065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56367428.

The product of its (nonzero) digits is 1215000, while the sum is 44.

Adding to 135563532065 its reverse (560235365531), we get a palindrome (695798897596).

The spelling of 135563532065 in words is "one hundred thirty-five billion, five hundred sixty-three million, five hundred thirty-two thousand, sixty-five".

Divisors: 1 5 13 37 65 185 481 2405 56367373 281836865 732775849 2085592801 3663879245 10427964005 27112706413 135563532065