Search a number
-
+
850313324300 = 2252112423319031
BaseRepresentation
bin11000101111110101001…
…11111010011100001100
310000021210210112102202012
430113322213322130030
5102412420202334200
61450343433320352
7115301362000466
oct14277247723414
93007723472665
10850313324300
112a8685781a50
121189682660b8
1362251900b9b
142d226537136
15171ba428a35
hexc5fa9fa70c

850313324300 has 72 divisors (see below), whose sum is σ = 2013760611072. Its totient is φ = 309076264000.

The previous prime is 850313324281. The next prime is 850313324303. The reversal of 850313324300 is 3423313058.

It is not an unprimeable number, because it can be changed into a prime (850313324303) 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, 2505785 + ... + 2824815.

It is an arithmetic number, because the mean of its divisors is an integer number (27968897376).

Almost surely, 2850313324300 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 850313324300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006880305536).

850313324300 is an abundant number, since it is smaller than the sum of its proper divisors (1163447286772).

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

850313324300 is a wasteful number, since it uses less digits than its factorization.

850313324300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321479 (or 321472 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

Adding to 850313324300 its reverse (3423313058), we get a palindrome (853736637358).

The spelling of 850313324300 in words is "eight hundred fifty billion, three hundred thirteen million, three hundred twenty-four thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 2423 4846 9692 12115 24230 26653 48460 53306 60575 106612 121150 133265 242300 266530 319031 533060 638062 666325 1276124 1332650 1595155 2665300 3190310 3509341 6380620 7018682 7975775 14037364 15951550 17546705 31903100 35093410 70186820 87733525 175467050 350934100 773012113 1546024226 3092048452 3865060565 7730121130 8503133243 15460242260 17006266486 19325302825 34012532972 38650605650 42515666215 77301211300 85031332430 170062664860 212578331075 425156662150 850313324300