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205023434343364 = 227133738633940721
BaseRepresentation
bin101110100111011110111100…
…111110011000001111000100
3222212221001022122121011122201
4232213132330332120033010
5203333100443142441424
62004014244313204244
761120311554566510
oct5647367476301704
9885831278534581
10205023434343364
115a365a4a81192a
121abb2ab9400684
138a5281c3b97c0
14388b28983d140
1518a81e3cb9d44
hexba77bcf983c4

205023434343364 has 96 divisors (see below), whose sum is σ = 453641288679936. Its totient is φ = 78895610357760.

The previous prime is 205023434343359. The next prime is 205023434343367. The reversal of 205023434343364 is 463343434320502.

It is not an unprimeable number, because it can be changed into a prime (205023434343367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50056524 + ... + 53997244.

It is an arithmetic number, because the mean of its divisors is an integer number (4725430090416).

Almost surely, 2205023434343364 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 205023434343364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226820644339968).

205023434343364 is an abundant number, since it is smaller than the sum of its proper divisors (248617854336572).

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

205023434343364 is a wasteful number, since it uses less digits than its factorization.

205023434343364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3944645 (or 3944643 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 46.

Adding to 205023434343364 its reverse (463343434320502), we get a palindrome (668366868663866).

The spelling of 205023434343364 in words is "two hundred five trillion, twenty-three billion, four hundred thirty-four million, three hundred forty-three thousand, three hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 37 52 74 91 148 182 259 364 481 518 962 1036 1924 3367 3863 6734 7726 13468 15452 27041 50219 54082 100438 108164 142931 200876 285862 351533 571724 703066 1000517 1406132 1858103 2001034 3716206 3940721 4002068 7432412 7881442 13006721 15762884 26013442 27585047 51229373 52026884 55170094 102458746 110340188 145806677 204917492 291613354 358605611 583226708 717211222 1020646739 1434422444 1895486801 2041293478 3790973602 4082586956 7581947204 13268407607 15223005223 26536815214 30446010446 53073630428 60892020892 106561036561 197899067899 213122073122 395798135798 426244146244 563251193251 791596271596 1126502386502 1385293475293 2253004773004 2770586950586 3942758352757 5541173901172 7322265512263 7885516705514 14644531024526 15771033411028 29289062049052 51255858585841 102511717171682 205023434343364