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206412635561 = 11101127211519
BaseRepresentation
bin1100000000111100100…
…1101101110110101001
3201201210020210022202012
43000033021231312221
511340213113314221
6234454043045305
720625045311336
oct3001711556651
9651706708665
10206412635561
117a5a2608210
1234007210835
1316606a318a2
149dc1a2398d
15558141965b
hex300f26dda9

206412635561 has 24 divisors (see below), whose sum is σ = 229231503360. Its totient is φ = 184311036000.

The previous prime is 206412635551. The next prime is 206412635599. The reversal of 206412635561 is 165536214602.

It is a happy number.

206412635561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-206412635561 is a prime.

It is a super-2 number, since 2×2064126355612 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (206412635521) 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 23 ways as a sum of consecutive naturals, for example, 17913560 + ... + 17925078.

It is an arithmetic number, because the mean of its divisors is an integer number (9551312640).

Almost surely, 2206412635561 is an apocalyptic number.

It is an amenable number.

206412635561 is a deficient number, since it is larger than the sum of its proper divisors (22818867799).

206412635561 is a wasteful number, since it uses less digits than its factorization.

206412635561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11885 (or 11758 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 41.

The spelling of 206412635561 in words is "two hundred six billion, four hundred twelve million, six hundred thirty-five thousand, five hundred sixty-one".

Divisors: 1 11 101 127 1111 1397 11519 12827 16129 126709 141097 177419 1163419 1462913 1629029 12797609 16092043 17919319 147754213 185789951 1625296343 2043689461 18764785051 206412635561