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206383325688 = 233261439710687
BaseRepresentation
bin1100000000110101100…
…1111010000111111000
3201201201012122020011100
43000031121322013320
511340133112410223
6234451114531400
720624241215661
oct3001531720770
9651635566140
10206383325688
117a588009281
1233bb9436b60
131660093ba77
149dbbb94368
15557da7a043
hex300d67a1f8

206383325688 has 96 divisors (see below), whose sum is σ = 568300412160. Its totient is φ = 67644944640.

The previous prime is 206383325657. The next prime is 206383325713. The reversal of 206383325688 is 886523383602.

206383325688 is a `hidden beast` number, since 2 + 0 + 6 + 383 + 3 + 256 + 8 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19306281 + ... + 19316967.

It is an arithmetic number, because the mean of its divisors is an integer number (5919795960).

Almost surely, 2206383325688 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 206383325688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284150206080).

206383325688 is an abundant number, since it is smaller than the sum of its proper divisors (361917086472).

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

206383325688 is a wasteful number, since it uses less digits than its factorization.

206383325688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15157 (or 15150 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 206383325688 in words is "two hundred six billion, three hundred eighty-three million, three hundred twenty-five thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 732 1098 1464 2196 4392 4397 8794 10687 13191 17588 21374 26382 32061 35176 39573 42748 52764 64122 79146 85496 96183 105528 128244 158292 192366 256488 268217 316584 384732 536434 651907 769464 804651 1072868 1303814 1609302 1955721 2145736 2413953 2607628 3218604 3911442 4827906 5215256 5867163 6437208 7822884 9655812 11734326 15645768 19311624 23468652 46937304 46990739 93981478 140972217 187962956 281944434 375925912 422916651 563888868 845833302 1127777736 1691666604 2866435079 3383333208 5732870158 8599305237 11465740316 17198610474 22931480632 25797915711 34397220948 51595831422 68794441896 103191662844 206383325688