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206485430742 = 23383100945659
BaseRepresentation
bin1100000001001101111…
…1011010000111010110
3201201222022202200222000
43000103133122013112
511340340232240432
6234505203220130
720626621126233
oct3002337320726
9651868680860
10206485430742
117a62a708318
1234027677646
1316618b3b766
149dcb57278a
1555879e857c
hex30137da1d6

206485430742 has 64 divisors (see below), whose sum is σ = 464855328000. Its totient is φ = 67930337664.

The previous prime is 206485430741. The next prime is 206485430783. The reversal of 206485430742 is 247034584602.

It is a happy number.

206485430742 is a `hidden beast` number, since 2 + 0 + 64 + 8 + 543 + 0 + 7 + 42 = 666.

206485430742 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206485430741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4499509 + ... + 4545167.

It is an arithmetic number, because the mean of its divisors is an integer number (7263364500).

Almost surely, 2206485430742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206485430742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232427664000).

206485430742 is an abundant number, since it is smaller than the sum of its proper divisors (258369897258).

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

206485430742 is a wasteful number, since it uses less digits than its factorization.

206485430742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46762 (or 46756 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 206485430742 in words is "two hundred six billion, four hundred eighty-five million, four hundred thirty thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 83 166 249 498 747 1009 1494 2018 2241 3027 4482 6054 9081 18162 27243 45659 54486 83747 91318 136977 167494 251241 273954 410931 502482 753723 821862 1232793 1507446 2261169 2465586 3789697 4522338 7579394 11369091 22738182 34107273 46069931 68214546 92139862 102321819 138209793 204643638 276419586 414629379 829258758 1243888137 2487776274 3823804273 7647608546 11471412819 22942825638 34414238457 68828476914 103242715371 206485430742