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805683420630 = 2335111733747351
BaseRepresentation
bin10111011100101100111…
…10010101110111010110
32212000121110111102102000
423232112132111313112
5101200014423430010
61414043103500130
7112131405036324
oct13562636256726
92760543442360
10805683420630
11290763317840
121101918b7646
135ac8b59116a
142add10c6d14
1515e572437c0
hexbb96795dd6

805683420630 has 256 divisors, whose sum is σ = 2489093867520. Its totient is φ = 183278592000.

The previous prime is 805683420611. The next prime is 805683420637. The reversal of 805683420630 is 36024386508.

It is a happy number.

805683420630 is a `hidden beast` number, since 8 + 0 + 5 + 6 + 8 + 3 + 4 + 2 + 0 + 630 = 666.

It is a super-3 number, since 3×8056834206303 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (805683420637) 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, 16991455 + ... + 17038805.

It is an arithmetic number, because the mean of its divisors is an integer number (9723022920).

Almost surely, 2805683420630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 805683420630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244546933760).

805683420630 is an abundant number, since it is smaller than the sum of its proper divisors (1683410446890).

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

805683420630 is a wasteful number, since it uses less digits than its factorization.

805683420630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47732 (or 47726 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 805683420630 in words is "eight hundred five billion, six hundred eighty-three million, four hundred twenty thousand, six hundred thirty".