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52313421200 = 24522275711009
BaseRepresentation
bin110000101110000111…
…110111010110010000
312000000210221010220112
4300232013313112100
51324114213434300
640011002100452
73531242512655
oct605607672620
9160023833815
1052313421200
11202056206a7
12a17b7aa728
134c19133a01
142763a93c2c
151562a17e35
hexc2e1f7590

52313421200 has 120 divisors (see below), whose sum is σ = 126583073760. Its totient is φ = 20776089600.

The previous prime is 52313421197. The next prime is 52313421211. The reversal of 52313421200 is 212431325.

52313421200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51846296 + ... + 51847304.

It is an arithmetic number, because the mean of its divisors is an integer number (1054858948).

Almost surely, 252313421200 is an apocalyptic number.

52313421200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52313421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63291536880).

52313421200 is an abundant number, since it is smaller than the sum of its proper divisors (74269652560).

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

52313421200 is a wasteful number, since it uses less digits than its factorization.

52313421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 52313421200 its reverse (212431325), we get a palindrome (52525852525).

The spelling of 52313421200 in words is "fifty-two billion, three hundred thirteen million, four hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 227 400 454 571 908 1009 1135 1142 1816 2018 2270 2284 2855 3632 4036 4540 4568 5045 5675 5710 8072 9080 9136 10090 11350 11420 14275 16144 18160 20180 22700 22840 25225 28550 40360 45400 45680 50450 57100 80720 90800 100900 114200 129617 201800 228400 229043 259234 403600 458086 518468 576139 648085 916172 1036936 1145215 1152278 1296170 1832344 2073872 2290430 2304556 2592340 2880695 3240425 3664688 4580860 4609112 5184680 5726075 5761390 6480850 9161720 9218224 10369360 11452150 11522780 12961700 14403475 18323440 22904300 23045560 25923400 28806950 45808600 46091120 51846800 57613900 91617200 115227800 130783553 230455600 261567106 523134212 653917765 1046268424 1307835530 2092536848 2615671060 3269588825 5231342120 6539177650 10462684240 13078355300 26156710600 52313421200