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206405604641 = 3182913995741
BaseRepresentation
bin1100000000111010111…
…0111001010100100001
3201201202202120010010202
43000032232321110201
511340204313322031
6234453232234545
720624631456125
oct3001656712441
9651682503122
10206405604641
117a599645835
123400499ba55
131660543c592
149dc0b13585
1555809cb2cb
hex300ebb9521

206405604641 has 16 divisors (see below), whose sum is σ = 213510528000. Its totient is φ = 199329076800.

The previous prime is 206405604619. The next prime is 206405604659. The reversal of 206405604641 is 146406504602.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-206405604641 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 206405604595 and 206405604604.

It is not an unprimeable number, because it can be changed into a prime (206405604611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35950031 + ... + 35955771.

It is an arithmetic number, because the mean of its divisors is an integer number (13344408000).

Almost surely, 2206405604641 is an apocalyptic number.

It is an amenable number.

206405604641 is a deficient number, since it is larger than the sum of its proper divisors (7104923359).

206405604641 is a wasteful number, since it uses less digits than its factorization.

206405604641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8000.

The product of its (nonzero) digits is 138240, while the sum is 38.

The spelling of 206405604641 in words is "two hundred six billion, four hundred five million, six hundred four thousand, six hundred forty-one".

Divisors: 1 31 829 1399 5741 25699 43369 177971 1159771 4759289 8031659 35952901 147537959 248981429 6658245311 206405604641