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206077199796 = 22321323336191
BaseRepresentation
bin1011111111101100101…
…0001000010110110100
3201200220212121102101100
42333323022020112310
511334021230343141
6234400501330100
720613533203446
oct2777312102664
9650825542340
10206077199796
117a440230376
1233b32a06930
13165823a78a0
149d8d268496
155561c5b0b6
hex2ffb2885b4

206077199796 has 144 divisors (see below), whose sum is σ = 586501493760. Its totient is φ = 60649807680.

The previous prime is 206077199777. The next prime is 206077199803. The reversal of 206077199796 is 697991770602.

206077199796 is a `hidden beast` number, since 2 + 0 + 607 + 7 + 19 + 9 + 7 + 9 + 6 = 666.

206077199796 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5676061 + ... + 5712251.

It is an arithmetic number, because the mean of its divisors is an integer number (4072927040).

Almost surely, 2206077199796 is an apocalyptic number.

206077199796 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206077199796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293250746880).

206077199796 is an abundant number, since it is smaller than the sum of its proper divisors (380424293964).

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

206077199796 is a wasteful number, since it uses less digits than its factorization.

206077199796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36283 (or 36232 counting only the distinct ones).

The product of its (nonzero) digits is 18003384, while the sum is 63.

The spelling of 206077199796 in words is "two hundred six billion, seventy-seven million, one hundred ninety-nine thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 117 138 156 207 234 276 299 414 468 529 598 828 897 1058 1196 1587 1794 2116 2691 3174 3588 4761 5382 6348 6877 9522 10764 12167 13754 19044 20631 24334 27508 36191 36501 41262 48668 61893 72382 73002 82524 108573 109503 123786 144764 146004 158171 217146 219006 247572 316342 325719 434292 438012 470483 474513 632684 651438 832393 940966 949026 1302876 1411449 1423539 1664786 1881932 1898052 2497179 2822898 2847078 3329572 4234347 4994358 5645796 5694156 7491537 8468694 9988716 10821109 14983074 16937388 19145039 21642218 29966148 32463327 38290078 43284436 57435117 64926654 76580156 97389981 114870234 129853308 172305351 194779962 229740468 248885507 344610702 389559924 440335897 497771014 689221404 746656521 880671794 995542028 1321007691 1493313042 1761343588 2239969563 2642015382 2986626084 3963023073 4479939126 5284030764 5724366661 7926046146 8959878252 11448733322 15852092292 17173099983 22897466644 34346199966 51519299949 68692399932 103038599898 206077199796