Search a number
-
+
75368241000201 = 32327313116330467
BaseRepresentation
bin10001001000110000001001…
…001110110110111100001001
3100212212010121022010220201210
4101020300021032312330021
534334313124144001301
6424143405242403333
721606114162165102
oct2110601116667411
9325763538126653
1075368241000201
1122018545220406
128552a53500549
13330926b7ab016
141487bb14c33a9
158aa77a87bad6
hex448c093b6f09

75368241000201 has 96 divisors (see below), whose sum is σ = 107963901061632. Its totient is φ = 46750559581440.

The previous prime is 75368241000197. The next prime is 75368241000253. The reversal of 75368241000201 is 10200014286357.

It is not a de Polignac number, because 75368241000201 - 22 = 75368241000197 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 75368241000201.

It is not an unprimeable number, because it can be changed into a prime (75368241008201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2473751170 + ... + 2473781636.

It is an arithmetic number, because the mean of its divisors is an integer number (1124623969392).

Almost surely, 275368241000201 is an apocalyptic number.

It is an amenable number.

75368241000201 is a deficient number, since it is larger than the sum of its proper divisors (32595660061431).

75368241000201 is a wasteful number, since it uses less digits than its factorization.

75368241000201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30883 (or 30860 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

Adding to 75368241000201 its reverse (10200014286357), we get a palindrome (85568255286558).

The spelling of 75368241000201 in words is "seventy-five trillion, three hundred sixty-eight billion, two hundred forty-one million, two hundred one", and thus it is an aban number.

Divisors: 1 3 23 69 73 131 163 219 393 489 529 1587 1679 3013 3749 5037 9039 9563 11247 11899 21353 28689 30467 35697 38617 64059 69299 86227 91401 115851 207897 219949 258681 273677 491119 659847 700741 821031 1473357 1558769 2102223 2224091 3991177 4676307 4966121 5058827 6294571 6672273 11295737 11973531 14898363 15176481 16117043 18883713 33887211 35851687 48351129 51154093 91797071 107555061 114220783 153462279 275391213 291355921 342662349 362526833 650561851 824588801 874067763 1087580499 1176544139 1951685553 2111332633 2473766403 2627078009 3529632417 6333997899 6701186183 7881234027 8338117159 14962922573 20103558549 25014351477 44888767719 47491015123 142473045369 154127282209 191776694657 344147219179 462381846627 575330083971 1032441657537 1092293347829 3276880043487 25122747000067 75368241000201