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809985137304 = 233729166253107
BaseRepresentation
bin10111100100101101110…
…00000101101010011000
32212102201020221021022210
423302112320011222120
5101232322143343204
61420034012315120
7112343121032340
oct13622670055230
92772636837283
10809985137304
11292570548192
12110b92472aa0
135b4c5861b45
142b2bc539d20
1516109c16389
hexbc96e05a98

809985137304 has 64 divisors (see below), whose sum is σ = 2394044755200. Its totient is φ = 223444174464.

The previous prime is 809985137303. The next prime is 809985137309. The reversal of 809985137304 is 403731589908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809985137303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83121682 + ... + 83131425.

It is an arithmetic number, because the mean of its divisors is an integer number (37406949300).

Almost surely, 2809985137304 is an apocalyptic number.

809985137304 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

809985137304 is an abundant number, since it is smaller than the sum of its proper divisors (1584059617896).

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

809985137304 is a wasteful number, since it uses less digits than its factorization.

809985137304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166253152 (or 166253148 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 809985137304 in words is "eight hundred nine billion, nine hundred eighty-five million, one hundred thirty-seven thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 609 696 812 1218 1624 2436 4872 166253107 332506214 498759321 665012428 997518642 1163771749 1330024856 1995037284 2327543498 3491315247 3990074568 4655086996 4821340103 6982630494 9310173992 9642680206 13965260988 14464020309 19285360412 27930521976 28928040618 33749380721 38570720824 57856081236 67498761442 101248142163 115712162472 134997522884 202496284326 269995045768 404992568652 809985137304