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20658608685 = 33511132294673
BaseRepresentation
bin10011001111010110…
…010101101000101101
31222022201211001112000
4103033112111220231
5314302100434220
613253533402513
71330640163561
oct231726255055
958281731460
1020658608685
118841278520
124006639439
131c42c84110
14ddd9676a1
1580d9b4390
hex4cf595a2d

20658608685 has 128 divisors (see below), whose sum is σ = 43344806400. Its totient is φ = 9203466240.

The previous prime is 20658608653. The next prime is 20658608699. The reversal of 20658608685 is 58680685602.

20658608685 is a `hidden beast` number, since 20 + 6 + 5 + 8 + 608 + 6 + 8 + 5 = 666.

It is not a de Polignac number, because 20658608685 - 25 = 20658608653 is a prime.

It is a super-2 number, since 2×206586086852 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 4418509 + ... + 4423181.

It is an arithmetic number, because the mean of its divisors is an integer number (338631300).

Almost surely, 220658608685 is an apocalyptic number.

It is an amenable number.

20658608685 is an abundant number, since it is smaller than the sum of its proper divisors (22686197715).

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

20658608685 is a wasteful number, since it uses less digits than its factorization.

20658608685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4940 (or 4934 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 20658608685 in words is "twenty billion, six hundred fifty-eight million, six hundred eight thousand, six hundred eighty-five".

Divisors: 1 3 5 9 11 13 15 27 33 39 45 55 65 99 117 135 143 165 195 229 297 351 429 495 585 687 715 1145 1287 1485 1755 2061 2145 2519 2977 3435 3861 4673 6183 6435 7557 8931 10305 12595 14019 14885 19305 22671 23365 26793 30915 32747 37785 42057 44655 51403 60749 68013 70095 80379 98241 113355 126171 133965 154209 163735 182247 210285 257015 294723 303745 340065 401895 462627 491205 546741 630855 668239 771045 884169 911235 1070117 1387881 1473615 1640223 2004717 2313135 2733705 3210351 3341195 4420845 5350585 6014151 6939405 8201115 9631053 10023585 11771287 13911521 16051755 18042453 28893159 30070755 35313861 41734563 48155265 58856435 69557605 90212265 105941583 125203689 144465795 153026731 176569305 208672815 317824749 375611067 459080193 529707915 626018445 765133655 1377240579 1589123745 1878055335 2295400965 4131721737 6886202895 20658608685