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643242221163 = 332979101149691
BaseRepresentation
bin10010101110001000011…
…10010101111001101011
32021111022122201111022000
421113010032111321223
541014330002034123
61211300145102043
764321066444443
oct11270416257153
92244278644260
10643242221163
11228885512363
12a47b8627923
1348871642119
14231c12ab123
1511aeb2e2b43
hex95c4395e6b

643242221163 has 128 divisors (see below), whose sum is σ = 1016409600000. Its totient is φ = 401454144000.

The previous prime is 643242221159. The next prime is 643242221173. The reversal of 643242221163 is 361122242346.

643242221163 is a `hidden beast` number, since 6 + 432 + 4 + 2 + 2 + 211 + 6 + 3 = 666.

It is not a de Polignac number, because 643242221163 - 22 = 643242221159 is a prime.

It is not an unprimeable number, because it can be changed into a prime (643242221123) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 930885648 + ... + 930886338.

It is an arithmetic number, because the mean of its divisors is an integer number (7940700000).

Almost surely, 2643242221163 is an apocalyptic number.

643242221163 is a deficient number, since it is larger than the sum of its proper divisors (373167378837).

643242221163 is a wasteful number, since it uses less digits than its factorization.

643242221163 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1052 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 643242221163 in words is "six hundred forty-three billion, two hundred forty-two million, two hundred twenty-one thousand, one hundred sixty-three".

Divisors: 1 3 9 27 29 79 87 101 149 237 261 303 447 691 711 783 909 1341 2073 2133 2291 2727 2929 4023 4321 6219 6873 7979 8787 11771 12963 15049 18657 20039 20619 23937 26361 35313 38889 45147 54589 60117 61857 69791 71811 79083 102959 105939 116667 135441 163767 180351 209373 215433 231391 308877 317817 341359 406323 436421 491301 541053 628119 694173 926631 1024077 1188871 1309263 1473903 1583081 1884357 2023939 2082519 2779893 2985811 3072231 3566613 3927789 4749243 5513489 6071817 6247557 8133761 8957433 9216693 10398859 10699839 11783367 14247729 16540467 18215451 24401283 26872299 31196577 32099517 34477259 42743187 49621401 54646353 73203849 80616897 93589731 103431777 148864203 159891181 219611547 235879069 280769193 301566911 310295331 479673543 707637207 821509861 904700733 930885993 1439020629 2122911621 2464529583 2714102199 4317061887 6368734863 7393588749 8142306597 22180766247 23823785969 71471357907 214414073721 643242221163