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133755216561 = 3237401667317
BaseRepresentation
bin111110010010001101…
…1101010001010110001
3110210020122001000022200
41330210123222022301
54142412313412221
6141240222253413
712443402403411
oct1744433521261
9423218030280
10133755216561
11517a837299a
1221b0a427269
13c7c7b8c075
14668c100641
15372c885426
hex1f246ea2b1

133755216561 has 12 divisors (see below), whose sum is σ = 198423655092. Its totient is φ = 86760140256.

The previous prime is 133755216527. The next prime is 133755216587. The reversal of 133755216561 is 165612557331.

133755216561 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 5 + 521 + 65 + 61 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 110091240000 + 23663976561 = 331800^2 + 153831^2 .

It is not a de Polignac number, because 133755216561 - 211 = 133755214513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133755216061) 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 11 ways as a sum of consecutive naturals, for example, 200833326 + ... + 200833991.

It is an arithmetic number, because the mean of its divisors is an integer number (16535304591).

Almost surely, 2133755216561 is an apocalyptic number.

It is an amenable number.

133755216561 is a deficient number, since it is larger than the sum of its proper divisors (64668438531).

133755216561 is a wasteful number, since it uses less digits than its factorization.

133755216561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401667360 (or 401667357 counting only the distinct ones).

The product of its digits is 567000, while the sum is 45.

The spelling of 133755216561 in words is "one hundred thirty-three billion, seven hundred fifty-five million, two hundred sixteen thousand, five hundred sixty-one".

Divisors: 1 3 9 37 111 333 401667317 1205001951 3615005853 14861690729 44585072187 133755216561