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6426425302011 = 32111322775692437
BaseRepresentation
bin101110110000100010011…
…0011000001101111111011
3211202100201121222100111100
41131201010303001233323
51320242304334131021
621400131541102443
71232202544530051
oct135410463015773
924670647870440
106426425302011
112058482601320
128795989b7a23
133780175a1900
1418307d7561d1
15b2275745626
hex5d844cc1bfb

6426425302011 has 144 divisors (see below), whose sum is σ = 11028819803040. Its totient is φ = 3574460897280.

The previous prime is 6426425301979. The next prime is 6426425302013. The reversal of 6426425302011 is 1102035246246.

6426425302011 is a `hidden beast` number, since 6 + 4 + 2 + 642 + 5 + 3 + 0 + 2 + 0 + 1 + 1 = 666.

It is not a de Polignac number, because 6426425302011 - 25 = 6426425301979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6426425302013) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 2637021885 + ... + 2637024321.

It is an arithmetic number, because the mean of its divisors is an integer number (76589026410).

Almost surely, 26426425302011 is an apocalyptic number.

6426425302011 is a deficient number, since it is larger than the sum of its proper divisors (4602394501029).

6426425302011 is a wasteful number, since it uses less digits than its factorization.

6426425302011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3326 (or 3310 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 6426425302011 in words is "six trillion, four hundred twenty-six billion, four hundred twenty-five million, three hundred two thousand, eleven".

Divisors: 1 3 9 11 13 33 39 99 117 143 169 277 429 507 569 831 1287 1521 1707 1859 2437 2493 3047 3601 5121 5577 6259 7311 7397 9141 10803 16731 18777 21933 22191 26807 27423 31681 32409 39611 46813 56331 66573 80421 81367 95043 96161 118833 140439 157613 241263 244101 285129 288483 348491 356499 411853 421317 472839 514943 675049 732303 865449 1045473 1057771 1235559 1386653 1418517 1544829 1733743 2025147 2048969 3136419 3173313 3706677 4159959 4530383 4634487 5201229 6075441 6146907 7425539 8775637 9519939 12479877 13591149 15253183 15603687 18026489 18440721 22276617 22538659 26326911 26636597 40773447 45759549 54079467 66829851 67615977 78980733 79909791 96532007 114083281 137278647 162238401 198291379 202847931 234344357 239729373 289596021 293002567 342249843 384102881 594874137 703033071 868788063 879007701 1026749529 1152308643 1254916091 1784622411 2109099213 2577787927 2637023103 3456925929 3764748273 4225131691 4993337453 7733363781 11294244819 12675395073 14980012359 23200091343 38026185219 44940037077 54926711983 64913386889 164780135949 194740160667 494340407847 584220482001 714047255779 2142141767337 6426425302011