Search a number
-
+
164731037392288 = 25231577878632099
BaseRepresentation
bin100101011101001001101110…
…111101111001110110100000
3210121021010121020020000222201
4211131021232331321312200
5133042423131033023123
61342204221023342544
746461265446454603
oct4535115675716640
9717233536200881
10164731037392288
114854104a095774
1216585b8b151a54
1370bc0bb221973
142c9704bcba33a
15140a0741295ad
hex95d26ef79da0

164731037392288 has 192 divisors, whose sum is σ = 341560887091200. Its totient is φ = 78055328812032.

The previous prime is 164731037392283. The next prime is 164731037392399. The reversal of 164731037392288 is 882293730137461.

It is not an unprimeable number, because it can be changed into a prime (164731037392283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78480721863 + ... + 78480723961.

It is an arithmetic number, because the mean of its divisors is an integer number (1778962953600).

Almost surely, 2164731037392288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164731037392288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170780443545600).

164731037392288 is an abundant number, since it is smaller than the sum of its proper divisors (176829849698912).

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

164731037392288 is a wasteful number, since it uses less digits than its factorization.

164731037392288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3939 (or 3931 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 64.

The spelling of 164731037392288 in words is "one hundred sixty-four trillion, seven hundred thirty-one billion, thirty-seven million, three hundred ninety-two thousand, two hundred eighty-eight".