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206434520511 = 3314095427203
BaseRepresentation
bin1100000001000001110…
…1001100110110111111
3201201211202222012020220
43000100131030312333
511340234214124021
6234500144112423
720625432321012
oct3002035146677
9651752865226
10206434520511
117a6039a574a
1234012605713
131660b424c6b
149dc48bd379
1555832ddcc6
hex301074cdbf

206434520511 has 16 divisors (see below), whose sum is σ = 284819665920. Its totient is φ = 132857904960.

The previous prime is 206434520507. The next prime is 206434520521. The reversal of 206434520511 is 115025434602.

206434520511 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 206434520511 - 22 = 206434520507 is a prime.

It is a super-2 number, since 2×2064345205112 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206434520521) 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 15 ways as a sum of consecutive naturals, for example, 2675565 + ... + 2751638.

It is an arithmetic number, because the mean of its divisors is an integer number (17801229120).

Almost surely, 2206434520511 is an apocalyptic number.

206434520511 is a deficient number, since it is larger than the sum of its proper divisors (78385145409).

206434520511 is a wasteful number, since it uses less digits than its factorization.

206434520511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5427646.

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 206434520511 in words is "two hundred six billion, four hundred thirty-four million, five hundred twenty thousand, five hundred eleven".

Divisors: 1 3 31 93 409 1227 12679 38037 5427203 16281609 168243293 504729879 2219726027 6659178081 68811506837 206434520511