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52213213320420 = 223573101311767843
BaseRepresentation
bin10111101111100110101100…
…00010000101010011100100
320211212112102121111000200010
423313303112002011103210
523320430130102223140
6303014230303450220
713666165046304225
oct1367632602052344
9224775377430603
1052213213320420
11157005547a6299
125a3332b5b6970
1323198b99174b9
14cc71c0d9324c
156082bb0ee880
hex2f7cd60854e4

52213213320420 has 96 divisors (see below), whose sum is σ = 148346006320512. Its totient is φ = 13719232631808.

The previous prime is 52213213320371. The next prime is 52213213320421. The reversal of 52213213320420 is 2402331231225.

52213213320420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (52213213320421) 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 31 ways as a sum of consecutive naturals, for example, 1446982 + ... + 10320861.

It is an arithmetic number, because the mean of its divisors is an integer number (1545270899172).

Almost surely, 252213213320420 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 52213213320420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74173003160256).

52213213320420 is an abundant number, since it is smaller than the sum of its proper divisors (96132793000092).

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

52213213320420 is a wasteful number, since it uses less digits than its factorization.

52213213320420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11768941 (or 11768939 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 52213213320420 its reverse (2402331231225), we get a palindrome (54615544551645).

The spelling of 52213213320420 in words is "fifty-two trillion, two hundred thirteen billion, two hundred thirteen million, three hundred twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1013 1095 1460 2026 2190 3039 4052 4380 5065 6078 10130 12156 15195 20260 30390 60780 73949 147898 221847 295796 369745 443694 739490 887388 1109235 1478980 2218470 4436940 11767843 23535686 35303529 47071372 58839215 70607058 117678430 141214116 176517645 235356860 353035290 706070580 859052539 1718105078 2577157617 3436210156 4295262695 5154315234 8590525390 10308630468 11920824959 12885788085 17181050780 23841649918 25771576170 35762474877 47683299836 51543152340 59604124795 71524949754 119208249590 143049899508 178812374385 238416499180 357624748770 715249497540 870220222007 1740440444014 2610660666021 3480880888028 4351101110035 5221321332042 8702202220070 10442642664084 13053303330105 17404404440140 26106606660210 52213213320420