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205299151434 = 23213877346801
BaseRepresentation
bin1011111100110011001…
…0000111001001001010
3201121220122120110200100
42333030302013021022
511330423040321214
6234151345150230
720555334665046
oct2771462071112
9647818513610
10205299151434
117a0810230a3
123395632b376
131648a13c540
149d17bb5026
1555187bd309
hex2fccc8724a

205299151434 has 24 divisors (see below), whose sum is σ = 479031353892. Its totient is φ = 63168969600.

The previous prime is 205299151429. The next prime is 205299151451. The reversal of 205299151434 is 434151992502.

It is a happy number.

205299151434 is a `hidden beast` number, since 2 + 0 + 529 + 91 + 5 + 1 + 4 + 34 = 666.

205299151434 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 197533135809 + 7766015625 = 444447^2 + 88125^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 205299151434.

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 11 ways as a sum of consecutive naturals, for example, 438673167 + ... + 438673634.

Almost surely, 2205299151434 is an apocalyptic number.

205299151434 is an abundant number, since it is smaller than the sum of its proper divisors (273732202458).

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

205299151434 is a wasteful number, since it uses less digits than its factorization.

205299151434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877346822 (or 877346819 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 205299151434 in words is "two hundred five billion, two hundred ninety-nine million, one hundred fifty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 877346801 1754693602 2632040403 5264080806 7896121209 11405508413 15792242418 22811016826 34216525239 68433050478 102649575717 205299151434