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205033450332 = 2231719457115751
BaseRepresentation
bin1011111011110011110…
…0100010101101011100
3201121020010121110021210
42332330330202231130
511324402030402312
6234105134224420
720545630400214
oct2767474425534
9647203543253
10205033450332
1179a55045a07
12338a1355110
1316447090359
149cd07ad244
1555002d6e3c
hex2fbcf22b5c

205033450332 has 96 divisors (see below), whose sum is σ = 534385313280. Its totient is φ = 60804864000.

The previous prime is 205033450267. The next prime is 205033450373. The reversal of 205033450332 is 233054330502.

It is a self number, because there is not a number n which added to its sum of digits gives 205033450332.

It is a congruent number.

It is an unprimeable number.

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, 1713457 + ... + 1829207.

It is an arithmetic number, because the mean of its divisors is an integer number (5566513680).

Almost surely, 2205033450332 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 205033450332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267192656640).

205033450332 is an abundant number, since it is smaller than the sum of its proper divisors (329351862948).

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

205033450332 is a wasteful number, since it uses less digits than its factorization.

205033450332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116251 (or 116249 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 30.

Adding to 205033450332 its reverse (233054330502), we get a palindrome (438087780834).

The spelling of 205033450332 in words is "two hundred five billion, thirty-three million, four hundred fifty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 323 457 646 914 969 1292 1371 1828 1938 2742 3876 5484 7769 8683 15538 17366 23307 26049 31076 34732 46614 52098 93228 104196 115751 147611 231502 295222 347253 442833 463004 590444 694506 885666 1389012 1771332 1967767 2199269 3935534 4398538 5903301 6597807 7871068 8797076 11806602 13195614 23613204 26391228 37387573 52898207 74775146 105796414 112162719 149550292 158694621 211592828 224325438 317389242 448650876 634778484 899269519 1005065933 1798539038 2010131866 2697808557 3015197799 3597078076 4020263732 5395617114 6030395598 10791234228 12060791196 17086120861 34172241722 51258362583 68344483444 102516725166 205033450332