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422563439682 = 23359711939679
BaseRepresentation
bin1100010011000101011…
…11100110010001000010
31111101201011122212102000
412021202233212101002
523410402220032212
6522042321004430
742346341654666
oct6114257462102
91441634585360
10422563439682
1115323205560a
1269a8b783716
1330b03127b97
1416648ad08a6
15aed27221dc
hex6262be6442

422563439682 has 128 divisors (see below), whose sum is σ = 973513728000. Its totient is φ = 135795502080.

The previous prime is 422563439671. The next prime is 422563439687. The reversal of 422563439682 is 286934365224.

422563439682 is a `hidden beast` number, since 42 + 2 + 563 + 4 + 39 + 6 + 8 + 2 = 666.

It is a super-2 number, since 2×4225634396822 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (422563439687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43652919 + ... + 43662597.

It is an arithmetic number, because the mean of its divisors is an integer number (7605576000).

Almost surely, 2422563439682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422563439682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486756864000).

422563439682 is an abundant number, since it is smaller than the sum of its proper divisors (550950288318).

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

422563439682 is a wasteful number, since it uses less digits than its factorization.

422563439682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10013 (or 10007 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 54.

The spelling of 422563439682 in words is "four hundred twenty-two billion, five hundred sixty-three million, four hundred thirty-nine thousand, six hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 54 59 71 118 142 177 193 213 354 386 426 531 579 639 1062 1158 1278 1593 1737 1917 3186 3474 3834 4189 5211 8378 9679 10422 11387 12567 13703 19358 22774 25134 27406 29037 34161 37701 41109 58074 68322 75402 82218 87111 102483 113103 123327 174222 204966 226206 246654 261333 307449 369981 522666 571061 614898 687209 739962 808477 1142122 1374418 1616954 1713183 1868047 2061627 2425431 3426366 3736094 4123254 4850862 5139549 5604141 6184881 7276293 10279098 11208282 12369762 14552586 15418647 16812423 18554643 21828879 30837294 33624846 37109286 40545331 43657758 50437269 81090662 100874538 110214773 121635993 132631337 220429546 243271986 265262674 330644319 364907979 397894011 661288638 729815958 795788022 991932957 1094723937 1193682033 1983865914 2189447874 2387364066 2975798871 3581046099 5951597742 7162092198 7825248883 15650497766 23475746649 46951493298 70427239947 140854479894 211281719841 422563439682