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84335644836 = 223229216692
BaseRepresentation
bin100111010001011001…
…0111101000010100100
322001200111101122121100
41032202302331002210
52340204411113321
6102424313320100
76043626103362
oct1164262750244
9261614348540
1084335644836
1132848300233
1214417a06030
137c50454731
144120900632
1522d8e44326
hex13a2cbd0a4

84335644836 has 81 divisors (see below), whose sum is σ = 220918716291. Its totient is φ = 27126243648.

The previous prime is 84335644763. The next prime is 84335644847. The reversal of 84335644836 is 63844653348.

The square root of 84335644836 is 290406.

It is a perfect power (a square), and thus also a powerful number.

84335644836 is a `hidden beast` number, since 8 + 4 + 3 + 3 + 564 + 48 + 36 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 282038436 + 84053606400 = 16794^2 + 289920^2 .

It is a super-2 number, since 2×843356448362 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 50529810 + ... + 50531478.

Almost surely, 284335644836 is an apocalyptic number.

84335644836 is the 290406-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84335644836

84335644836 is an abundant number, since it is smaller than the sum of its proper divisors (136583071455).

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

84335644836 is a wasteful number, since it uses less digits than its factorization.

84335644836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3406 (or 1703 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 54.

The spelling of 84335644836 in words is "eighty-four billion, three hundred thirty-five million, six hundred forty-four thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 841 1044 1669 1682 2523 3338 3364 5007 5046 6676 7569 10014 10092 15021 15138 20028 30042 30276 48401 60084 96802 145203 193604 290406 435609 580812 871218 1403629 1742436 2785561 2807258 4210887 5571122 5614516 8356683 8421774 11142244 12632661 16713366 16843548 25070049 25265322 33426732 50140098 50530644 80781269 100280196 161562538 242343807 323125076 484687614 727031421 969375228 1454062842 2342656801 2908125684 4685313602 7027970403 9370627204 14055940806 21083911209 28111881612 42167822418 84335644836