Search a number
-
+
164239682350164 = 22315190640001297
BaseRepresentation
bin100101010110000000000111…
…111011001010110001010100
3210112112011022212000200112020
4211112000013323022301110
5133011400332140201124
61341150400215453140
746410632302512111
oct4526000773126124
9715464285020466
10164239682350164
1148371726a70063
12165069013871b0
137084974123ca5
142c7b358c8b908
1513ec3b7440379
hex956007ecac54

164239682350164 has 24 divisors (see below), whose sum is σ = 385763845524288. Its totient is φ = 54384000777600.

The previous prime is 164239682350147. The next prime is 164239682350169. The reversal of 164239682350164 is 461053286932461.

It is a happy number.

164239682350164 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 164239682350098 and 164239682350107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164239682350169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45319998837 + ... + 45320002460.

It is an arithmetic number, because the mean of its divisors is an integer number (16073493563512).

Almost surely, 2164239682350164 is an apocalyptic number.

It is an amenable number.

164239682350164 is an abundant number, since it is smaller than the sum of its proper divisors (221524163174124).

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

164239682350164 is a wasteful number, since it uses less digits than its factorization.

164239682350164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90640001455 (or 90640001453 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 60.

The spelling of 164239682350164 in words is "one hundred sixty-four trillion, two hundred thirty-nine billion, six hundred eighty-two million, three hundred fifty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 151 302 453 604 906 1812 90640001297 181280002594 271920003891 362560005188 543840007782 1087680015564 13686640195847 27373280391694 41059920587541 54746560783388 82119841175082 164239682350164