Search a number
-
+
115044161706 = 233101179117841
BaseRepresentation
bin110101100100100101…
…0101001100010101010
3101222221121212221102000
41223021022221202222
53341102301133311
6124503415351430
711211621145155
oct1531112514252
9358847787360
10115044161706
11448764804a1
121a368082576
13ab0554b686
1457d509cc9c
152ed4d74056
hex1ac92a98aa

115044161706 has 64 divisors (see below), whose sum is σ = 259629494400. Its totient is φ = 37755936000.

The previous prime is 115044161699. The next prime is 115044161717. The reversal of 115044161706 is 607161440511.

115044161706 is a `hidden beast` number, since 1 + 150 + 441 + 61 + 7 + 0 + 6 = 666.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 917346 + ... + 1035186.

It is an arithmetic number, because the mean of its divisors is an integer number (4056710850).

Almost surely, 2115044161706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115044161706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129814747200).

115044161706 is an abundant number, since it is smaller than the sum of its proper divisors (144585332694).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

115044161706 is a wasteful number, since it uses less digits than its factorization.

115044161706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118132 (or 118126 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 115044161706 in words is "one hundred fifteen billion, forty-four million, one hundred sixty-one thousand, seven hundred six".

Divisors: 1 2 3 6 9 18 27 54 101 179 202 303 358 537 606 909 1074 1611 1818 2727 3222 4833 5454 9666 18079 36158 54237 108474 117841 162711 235682 325422 353523 488133 707046 976266 1060569 2121138 3181707 6363414 11901941 21093539 23803882 35705823 42187078 63280617 71411646 107117469 126561234 189841851 214234938 321352407 379683702 569525553 642704814 1139051106 2130447439 4260894878 6391342317 12782684634 19174026951 38348053902 57522080853 115044161706