Search a number
-
+
2171091523068 = 22321319325919277
BaseRepresentation
bin11111100101111111001…
…000111001010111111100
321200112222002201202020200
4133211333020321113330
5241032343412214233
64341215150043500
7312566446312146
oct37457710712774
97615862652220
102171091523068
11767833623436
122b09321a9590
1312996b6918a0
147711d499c96
153b71d587313
hex1f97f2395fc

2171091523068 has 144 divisors (see below), whose sum is σ = 5943749849856. Its totient is φ = 664238776320.

The previous prime is 2171091522997. The next prime is 2171091523087. The reversal of 2171091523068 is 8603251901712.

2171091523068 is a `hidden beast` number, since 2 + 17 + 109 + 1 + 523 + 0 + 6 + 8 = 666.

It is a super-2 number, since 2×21710915230682 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 234024846 + ... + 234034122.

It is an arithmetic number, because the mean of its divisors is an integer number (41276040624).

Almost surely, 22171091523068 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 2171091523068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2971874924928).

2171091523068 is an abundant number, since it is smaller than the sum of its proper divisors (3772658326788).

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

2171091523068 is a wasteful number, since it uses less digits than its factorization.

2171091523068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12084 (or 12079 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 2171091523068 in words is "two trillion, one hundred seventy-one billion, ninety-one million, five hundred twenty-three thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 193 234 386 468 579 772 1158 1737 2316 2509 2591 3474 5018 5182 6948 7527 7773 9277 10036 10364 15054 15546 18554 22581 23319 27831 30108 31092 33683 37108 45162 46638 55662 67366 83493 90324 93276 101049 111324 120601 134732 166986 202098 241202 303147 333972 361803 404196 482404 500063 606294 723606 1000126 1085409 1212588 1447212 1500189 1790461 2000252 2170818 3000378 3580922 4341636 4500567 5371383 6000756 6500819 7161844 9001134 10742766 13001638 16114149 18002268 19502457 21485532 23275993 24036707 26003276 32228298 39004914 46551986 48073414 58507371 64456596 69827979 72110121 78009828 93103972 96146828 117014742 139655958 144220242 209483937 216330363 234029484 279311916 288440484 312477191 418967874 432660726 624954382 837935748 865321452 937431573 1249908764 1874863146 2812294719 3749726292 4639084451 5624589438 9278168902 11249178876 13917253353 18556337804 27834506706 41751760059 55669013412 60308097863 83503520118 120616195726 167007040236 180924293589 241232391452 361848587178 542772880767 723697174356 1085545761534 2171091523068