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206563314330 = 2325101127178931
BaseRepresentation
bin1100000001100000100…
…0100000101010011010
3201202011202022121011100
43000120020200222122
511341020202024310
6234521024412230
720631555126132
oct3003010405232
9652152277140
10206563314330
117a66a67341a
1234049777076
131662c00a719
149dd7a47ac2
15558e77eec0
hex3018220a9a

206563314330 has 96 divisors (see below), whose sum is σ = 546655868928. Its totient is φ = 54108432000.

The previous prime is 206563314329. The next prime is 206563314359. The reversal of 206563314330 is 33413365602.

206563314330 is a `hidden beast` number, since 2 + 0 + 6 + 5 + 6 + 3 + 314 + 330 = 666.

206563314330 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 1064965 + ... + 1243895.

It is an arithmetic number, because the mean of its divisors is an integer number (5694331968).

Almost surely, 2206563314330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206563314330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273327934464).

206563314330 is an abundant number, since it is smaller than the sum of its proper divisors (340092554598).

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

206563314330 is a wasteful number, since it uses less digits than its factorization.

206563314330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179172 (or 179169 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

Adding to 206563314330 its reverse (33413365602), we get a palindrome (239976679932).

The spelling of 206563314330 in words is "two hundred six billion, five hundred sixty-three million, three hundred fourteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 127 202 254 303 381 505 606 635 762 909 1010 1143 1270 1515 1818 1905 2286 3030 3810 4545 5715 9090 11430 12827 25654 38481 64135 76962 115443 128270 178931 192405 230886 357862 384810 536793 577215 894655 1073586 1154430 1610379 1789310 2683965 3220758 5367930 8051895 16103790 18072031 22724237 36144062 45448474 54216093 68172711 90360155 108432186 113621185 136345422 162648279 180720310 204518133 227242370 271080465 325296558 340863555 409036266 542160930 681727110 813241395 1022590665 1626482790 2045181330 2295147937 4590295874 6885443811 11475739685 13770887622 20656331433 22951479370 34427219055 41312662866 68854438110 103281657165 206563314330