Search a number
-
+
135163345177 = 7711693160637
BaseRepresentation
bin111110111100001011…
…1001111100100011001
3110220212202200100122101
41331320113033210121
54203303304021202
6142032043323401
712523321322560
oct1757027174431
9426782610571
10135163345177
1152360203853
1222241b20561
13c990825673
14678312abd7
1537b12d3887
hex1f785cf919

135163345177 has 16 divisors (see below), whose sum is σ = 156741564672. Its totient is φ = 114154367040.

The previous prime is 135163345127. The next prime is 135163345201. The reversal of 135163345177 is 771543361531.

It is a happy number.

It is not a de Polignac number, because 135163345177 - 27 = 135163345049 is a prime.

It is a super-3 number, since 3×1351633451773 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (135163345127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 761103 + ... + 921739.

It is an arithmetic number, because the mean of its divisors is an integer number (9796347792).

Almost surely, 2135163345177 is an apocalyptic number.

It is an amenable number.

135163345177 is a deficient number, since it is larger than the sum of its proper divisors (21578219495).

135163345177 is a wasteful number, since it uses less digits than its factorization.

135163345177 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162408.

The product of its digits is 793800, while the sum is 46.

The spelling of 135163345177 in words is "one hundred thirty-five billion, one hundred sixty-three million, three hundred forty-five thousand, one hundred seventy-seven".

Divisors: 1 7 71 497 1693 11851 120203 160637 841421 1124459 11405227 79836589 271958441 1903709087 19309049311 135163345177