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135921967173 = 32148431017479
BaseRepresentation
bin111111010010110010…
…1001010000001000101
3110222211122011100101100
41332211211022001011
54211332010422143
6142235223250313
712551162441526
oct1764545120105
9428748140340
10135921967173
115270a452783
1222413ba9999
13ca81a4b715
146815ba484d
153807bd56d3
hex1fa594a045

135921967173 has 12 divisors (see below), whose sum is σ = 196345150560. Its totient is φ = 90608450856.

The previous prime is 135921967163. The next prime is 135921967199. The reversal of 135921967173 is 371769129531.

135921967173 is a `hidden beast` number, since 1 + 359 + 219 + 6 + 7 + 1 + 73 = 666.

It is not a de Polignac number, because 135921967173 - 210 = 135921966149 is a prime.

It is a super-3 number, since 3×1359219671733 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135921967163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 375153 + ... + 642326.

It is an arithmetic number, because the mean of its divisors is an integer number (16362095880).

Almost surely, 2135921967173 is an apocalyptic number.

It is an amenable number.

135921967173 is a deficient number, since it is larger than the sum of its proper divisors (60423183387).

135921967173 is a wasteful number, since it uses less digits than its factorization.

135921967173 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032328 (or 1032325 counting only the distinct ones).

The product of its digits is 2143260, while the sum is 54.

The spelling of 135921967173 in words is "one hundred thirty-five billion, nine hundred twenty-one million, nine hundred sixty-seven thousand, one hundred seventy-three".

Divisors: 1 3 9 14843 44529 133587 1017479 3052437 9157311 15102440797 45307322391 135921967173