Search a number
-
+
5204680932900 = 22352113153530411
BaseRepresentation
bin100101110111100111100…
…1010000111111000100100
3200102120012011101211200210
41023233033022013320210
51140233141304323100
615022555235135420
71045011562661631
oct113571712077044
920376164354623
105204680932900
111727324778949
12700851144570
132b9a510c9607
1413dc9d3d1188
15905bbac3c50
hex4bbcf287e24

5204680932900 has 72 divisors (see below), whose sum is σ = 15192141328224. Its totient is φ = 1375632473600.

The previous prime is 5204680932791. The next prime is 5204680932907. The reversal of 5204680932900 is 92390864025.

It is a happy number.

It is a super-3 number, since 3×52046809329003 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 5204680932900.

It is not an unprimeable number, because it can be changed into a prime (5204680932907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76731306 + ... + 76799105.

It is an arithmetic number, because the mean of its divisors is an integer number (211001962892).

Almost surely, 25204680932900 is an apocalyptic number.

5204680932900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5204680932900 is an abundant number, since it is smaller than the sum of its proper divisors (9987460395324).

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

5204680932900 is a wasteful number, since it uses less digits than its factorization.

5204680932900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153530541 (or 153530534 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 5204680932900 in words is "five trillion, two hundred four billion, six hundred eighty million, nine hundred thirty-two thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 113 150 226 300 339 452 565 678 1130 1356 1695 2260 2825 3390 5650 6780 8475 11300 16950 33900 153530411 307060822 460591233 614121644 767652055 921182466 1535304110 1842364932 2302956165 3070608220 3838260275 4605912330 7676520550 9211824660 11514780825 15353041100 17348936443 23029561650 34697872886 46059123300 52046809329 69395745772 86744682215 104093618658 173489364430 208187237316 260234046645 346978728860 433723411075 520468093290 867446822150 1040936186580 1301170233225 1734893644300 2602340466450 5204680932900