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5666636646 = 23211191639241
BaseRepresentation
bin1010100011100001…
…00000001101100110
3112121220202222010100
411101300200031212
543101124333041
62334143404530
7260265421356
oct52160401546
915556688110
105666636646
112448739a90
1211218b3746
136c3cb9148
143ba832b66
152327386b6
hex151c20366

5666636646 has 96 divisors (see below), whose sum is σ = 14186839680. Its totient is φ = 1616630400.

The previous prime is 5666636629. The next prime is 5666636671. The reversal of 5666636646 is 6466366665.

It is a happy number.

It is a super-2 number, since 2×56666366462 = 64221541755580258632, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5666636592 and 5666636601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 608586 + ... + 617826.

It is an arithmetic number, because the mean of its divisors is an integer number (147779580).

Almost surely, 25666636646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5666636646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7093419840).

5666636646 is an abundant number, since it is smaller than the sum of its proper divisors (8520203034).

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

5666636646 is a wasteful number, since it uses less digits than its factorization.

5666636646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9442 (or 9439 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 54.

The square root of 5666636646 is about 75277.0658700245. The cubic root of 5666636646 is about 1782.8239320748.

The spelling of 5666636646 in words is "five billion, six hundred sixty-six million, six hundred thirty-six thousand, six hundred forty-six".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 163 171 198 209 326 342 418 489 627 978 1254 1467 1793 1881 2934 3097 3586 3762 5379 6194 9241 9291 10758 16137 18482 18582 27723 27873 32274 34067 55446 55746 68134 83169 101651 102201 166338 175579 203302 204402 304953 306603 351158 526737 609906 613206 914859 1053474 1506283 1580211 1829718 1931369 3012566 3160422 3862738 4518849 5794107 9037698 11588214 13556547 16569113 17382321 27113094 28619377 33138226 34764642 49707339 57238754 85858131 99414678 149122017 171716262 257574393 298244034 314813147 515148786 629626294 944439441 1888878882 2833318323 5666636646