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164221064316 = 223222123206197
BaseRepresentation
bin1001100011110001010…
…1101001010001111100
3120200212211220102200100
42120330111221101330
510142311043024231
6203235255201100
714602360005111
oct2307425512174
9520784812610
10164221064316
1163711567271
12279b1376190
131264190c30a
147d3c370908
15441232d1e6
hex263c56947c

164221064316 has 36 divisors (see below), whose sum is σ = 415135134232. Its totient is φ = 54737614944.

The previous prime is 164221064303. The next prime is 164221064339. The reversal of 164221064316 is 613460122461.

164221064316 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 2 + 1 + 0 + 643 + 1 + 6 = 666.

164221064316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 693330 + ... + 899526.

Almost surely, 2164221064316 is an apocalyptic number.

It is an amenable number.

164221064316 is an abundant number, since it is smaller than the sum of its proper divisors (250914069916).

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

164221064316 is a wasteful number, since it uses less digits than its factorization.

164221064316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228330 (or 228325 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 164221064316 its reverse (613460122461), we get a palindrome (777681186777).

The spelling of 164221064316 in words is "one hundred sixty-four billion, two hundred twenty-one million, sixty-four thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 22123 44246 66369 88492 132738 199107 206197 265476 398214 412394 618591 796428 824788 1237182 1855773 2474364 3711546 7423092 4561696231 9123392462 13685088693 18246784924 27370177386 41055266079 54740354772 82110532158 164221064316