Search a number
-
+
13812205284 = 2232383672369
BaseRepresentation
bin11001101110100010…
…11000011011100100
31022122121002201122200
430313101120123210
5211241411032114
610202323254500
7666164544033
oct146721303344
938577081580
1013812205284
1159486a2299
12281581a430
1313c1739147
1495059071a
1555c8da409
hex3374586e4

13812205284 has 18 divisors (see below), whose sum is σ = 34914185670. Its totient is φ = 4604068416.

The previous prime is 13812205259. The next prime is 13812205307. The reversal of 13812205284 is 48250221831.

It is a happy number.

13812205284 is a `hidden beast` number, since 1 + 3 + 8 + 122 + 0 + 528 + 4 = 666.

13812205284 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9061136100 + 4751069184 = 95190^2 + 68928^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 383672369 = 13812205284 / (1 + 3 + 8 + 1 + 2 + 2 + 0 + 5 + 2 + 8 + 4).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 191836149 + ... + 191836220.

Almost surely, 213812205284 is an apocalyptic number.

It is an amenable number.

13812205284 is an abundant number, since it is smaller than the sum of its proper divisors (21101980386).

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

13812205284 is a wasteful number, since it uses less digits than its factorization.

13812205284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383672379 (or 383672374 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 13812205284 in words is "thirteen billion, eight hundred twelve million, two hundred five thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 383672369 767344738 1151017107 1534689476 2302034214 3453051321 4604068428 6906102642 13812205284