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206666283672 = 233217231320389
BaseRepresentation
bin1100000001111001000…
…1010011101010011000
3201202102221001222112200
43000132101103222120
511341223032034142
6234535143410200
720634245266242
oct3003621235230
9652387058480
10206666283672
117a712802852
1234078153960
1316647450924
14a0075ad092
15559881e64c
hex301e453a98

206666283672 has 144 divisors (see below), whose sum is σ = 613764715200. Its totient is φ = 62744785920.

The previous prime is 206666283671. The next prime is 206666283701. The reversal of 206666283672 is 276382666602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206666283671) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 484854 + ... + 805242.

Almost surely, 2206666283672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206666283672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306882357600).

206666283672 is an abundant number, since it is smaller than the sum of its proper divisors (407098431528).

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

206666283672 is a wasteful number, since it uses less digits than its factorization.

206666283672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320466 (or 320442 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 206666283672 in words is "two hundred six billion, six hundred sixty-six million, two hundred eighty-three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 31 34 36 51 62 68 72 93 102 124 136 153 186 204 248 279 289 306 372 408 527 558 578 612 744 867 1054 1116 1156 1224 1581 1734 2108 2232 2312 2601 3162 3468 4216 4743 5202 6324 6936 8959 9486 10404 12648 17918 18972 20808 26877 35836 37944 53754 71672 80631 107508 161262 215016 320389 322524 640778 645048 961167 1281556 1922334 2563112 2883501 3844668 5446613 5767002 7689336 9932059 10893226 11534004 16339839 19864118 21786452 23068008 29796177 32679678 39728236 43572904 49019517 59592354 65359356 79456472 89388531 92592421 98039034 119184708 130718712 168845003 178777062 185184842 196078068 238369416 277777263 337690006 357554124 370369684 392156136 506535009 555554526 675380012 715108248 740739368 833331789 1013070018 1111109052 1350760024 1519605027 1666663578 2026140036 2222218104 2870365051 3039210054 3333327156 4052280072 5740730102 6078420108 6666654312 8611095153 11481460204 12156840216 17222190306 22962920408 25833285459 34444380612 51666570918 68888761224 103333141836 206666283672