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205412414505 = 3537423365929
BaseRepresentation
bin1011111101001110001…
…0001011010000101001
3201122012112200211101220
42333103202023100221
511331141034231010
6234210512532253
720561211500064
oct2772342132051
9648175624356
10205412414505
117a129a53341
1233988251089
13164a7747bcc
149d28c598db
1555236e2970
hex2fd388b429

205412414505 has 16 divisors (see below), whose sum is σ = 328669543680. Its totient is φ = 109550060928.

The previous prime is 205412414477. The next prime is 205412414527. The reversal of 205412414505 is 505414214502.

It is a happy number.

205412414505 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 205412414505 - 212 = 205412410409 is a prime.

It is a Curzon number.

It is an unprimeable number.

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, 378381 + ... + 744309.

It is an arithmetic number, because the mean of its divisors is an integer number (20541846480).

Almost surely, 2205412414505 is an apocalyptic number.

It is an amenable number.

205412414505 is a deficient number, since it is larger than the sum of its proper divisors (123257129175).

205412414505 is a wasteful number, since it uses less digits than its factorization.

205412414505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403360.

The product of its (nonzero) digits is 32000, while the sum is 33.

The spelling of 205412414505 in words is "two hundred five billion, four hundred twelve million, four hundred fourteen thousand, five hundred five".

Divisors: 1 3 5 15 37423 112269 187115 365929 561345 1097787 1829645 5488935 13694160967 41082482901 68470804835 205412414505