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3963429379305 = 34511317432503
BaseRepresentation
bin111001101011001110110…
…011001101110011101001
3112000220022012121200110000
4321223032303031303221
51004414100410114210
612232435130413213
7556230321601524
oct71531663156351
915026265550400
103963429379305
111298976616000
12540180591209
132299993875c6
14d9b8c3c9bbb
156d1705d0ac0
hex39aceccdce9

3963429379305 has 160 divisors (see below), whose sum is σ = 8274472766208. Its totient is φ = 1808619563520.

The previous prime is 3963429379249. The next prime is 3963429379321. The reversal of 3963429379305 is 5039739243693.

It is a happy number.

3963429379305 is a `hidden beast` number, since 3 + 9 + 6 + 34 + 293 + 7 + 9 + 305 = 666.

It is not a de Polignac number, because 3963429379305 - 26 = 3963429379241 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8947684 + ... + 9380186.

Almost surely, 23963429379305 is an apocalyptic number.

It is an amenable number.

3963429379305 is an abundant number, since it is smaller than the sum of its proper divisors (4311043386903).

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

3963429379305 is a wasteful number, since it uses less digits than its factorization.

3963429379305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432570 (or 432539 counting only the distinct ones).

The product of its (nonzero) digits is 99202320, while the sum is 63.

The spelling of 3963429379305 in words is "three trillion, nine hundred sixty-three billion, four hundred twenty-nine million, three hundred seventy-nine thousand, three hundred five".

Divisors: 1 3 5 9 11 15 17 27 33 45 51 55 81 85 99 121 135 153 165 187 255 297 363 405 459 495 561 605 765 891 935 1089 1331 1377 1485 1683 1815 2057 2295 2805 3267 3993 4455 5049 5445 6171 6655 6885 8415 9801 10285 11979 15147 16335 18513 19965 22627 25245 30855 35937 49005 55539 59895 67881 75735 92565 107811 113135 166617 179685 203643 277695 339405 432503 539055 610929 833085 1018215 1297509 1832787 2162515 3054645 3892527 4757533 6487545 7352551 9163935 11677581 14272599 19462635 22057653 23787665 35032743 36762755 42817797 52332863 58387905 66172959 71362995 80878061 110288265 128453391 156998589 175163715 198518877 214088985 242634183 261664315 330864795 385360173 404390305 470995767 575661493 595556631 642266955 727902549 784992945 889658671 992594385 1213170915 1412987301 1726984479 1926800865 2183707647 2354978835 2668976013 2878307465 2977783155 3639512745 4238961903 4448293355 5180953437 6551122941 7064936505 8006928039 8634922395 9786245381 10918538235 13344880065 15542860311 21194809515 24020784117 25904767185 29358736143 32755614705 40034640195 46628580933 48931226905 72062352351 77714301555 88076208429 120103920585 146793680715 233142904665 264228625287 360311761755 440381042145 792685875861 1321143126435 3963429379305