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206267663889 = 31272892
BaseRepresentation
bin1100000000011010000…
…0101100011000010001
3201201102011000000000000
43000012200230120101
511334414010221024
6234431423520213
720621335133400
oct3000640543021
9651364000000
10206267663889
117a52879a911
1233b86759069
13165b29a3631
149daa687637
15557382ecc9
hex300682c611

206267663889 has 117 divisors (see below), whose sum is σ = 364005235947. Its totient is φ = 116542885536.

The previous prime is 206267663887. The next prime is 206267663951. The reversal of 206267663889 is 988366762602.

The square root of 206267663889 is 454167.

It is a perfect power (a square), and thus also a powerful number.

206267663889 is a `hidden beast` number, since 206 + 267 + 66 + 38 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39607766289 + 166659897600 = 199017^2 + 408240^2 .

It is not a de Polignac number, because 206267663889 - 21 = 206267663887 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (206267663887) by changing a digit.

It is a polite number, since it can be written in 116 ways as a sum of consecutive naturals, for example, 2317614157 + ... + 2317614245.

Almost surely, 2206267663889 is an apocalyptic number.

206267663889 is the 454167-th square number.

206267663889 is the 227084-th centered octagonal number.

It is an amenable number.

206267663889 is a deficient number, since it is larger than the sum of its proper divisors (157737572058).

206267663889 is an frugal number, since it uses more digits than its factorization.

206267663889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 206267663889 in words is "two hundred six billion, two hundred sixty-seven million, six hundred sixty-three thousand, eight hundred eighty-nine".

Divisors: 1 3 7 9 21 27 49 63 81 89 147 189 243 267 441 567 623 729 801 1323 1701 1869 2187 2403 3969 4361 5103 5607 6561 7209 7921 11907 13083 15309 16821 19683 21627 23763 35721 39249 45927 50463 55447 59049 64881 71289 107163 117747 137781 151389 166341 177147 194643 213867 321489 353241 388129 413343 454167 499023 531441 583929 641601 964467 1059723 1164387 1240029 1362501 1497069 1751787 1924803 2893401 3179169 3493161 3720087 4087503 4491207 5255361 5774409 8680203 9537507 10479483 12262509 13473621 15766083 17323227 26040609 28612521 31438449 36787527 40420863 47298249 51969681 85837563 94315347 110362581 121262589 155909043 257512689 282946041 331087743 363787767 467727129 772538067 848838123 1091363301 1403181387 2317614201 2546514369 3274089903 4209544161 7639543107 9822269709 22918629321 29466809127 68755887963 206267663889