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206942849931220 = 2251310733049225079
BaseRepresentation
bin101111000011011010100011…
…000011110001011111010100
31000010201112200000122201212121
4233003122203003301133110
5204111022424040244340
62012044122142425324
761406061511105504
oct5703324303613724
91003645600581777
10206942849931220
115aa35a73885097
121b262ab1892244
138b6181c71a560
143916131aa7a04
1518dd0d233994a
hexbc36a30f17d4

206942849931220 has 96 divisors (see below), whose sum is σ = 472399524576000. Its totient is φ = 75692931922944.

The previous prime is 206942849931157. The next prime is 206942849931221. The reversal of 206942849931220 is 22139948249602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206942849931221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 919310641 + ... + 919535719.

It is an arithmetic number, because the mean of its divisors is an integer number (4920828381000).

Almost surely, 2206942849931220 is an apocalyptic number.

206942849931220 is a gapful number since it is divisible by the number (20) 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 206942849931220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236199762288000).

206942849931220 is an abundant number, since it is smaller than the sum of its proper divisors (265456674644780).

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

206942849931220 is a wasteful number, since it uses less digits than its factorization.

206942849931220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258257 (or 258255 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 61.

The spelling of 206942849931220 in words is "two hundred six trillion, nine hundred forty-two billion, eight hundred forty-nine million, nine hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 107 130 214 260 428 535 1070 1391 2140 2782 5564 6955 13910 27820 33049 66098 132196 165245 225079 330490 429637 450158 660980 859274 900316 1125395 1718548 2148185 2250790 2926027 3536243 4296370 4501580 5852054 7072486 8592740 11704108 14144972 14630135 17681215 24083453 29260270 35362430 45971159 48166906 58520540 70724860 91942318 96333812 120417265 183884636 229855795 240834530 313084889 459711590 481669060 626169778 919423180 1252339556 1565424445 3130848890 6261697780 7438635871 14877271742 29754543484 37193179355 74386358710 96702266323 148772717420 193404532646 386809065292 483511331615 795934038197 967022663230 1591868076394 1934045326460 3183736152788 3979670190985 7959340381970 10347142496561 15918680763940 20694284993122 41388569986244 51735712482805 103471424965610 206942849931220