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2164338006 = 234310778401
BaseRepresentation
bin1000000100000001…
…0010110101010110
312120211120202120220
42001000102311112
513413032304011
6554433135210
7104430366225
oct20100226526
95524522526
102164338006
11a107921a6
125049ba506
1328652649c
14167636cbc
15ca025506
hex81012d56

2164338006 has 32 divisors (see below), whose sum is σ = 4470795648. Its totient is φ = 698073600.

The previous prime is 2164337999. The next prime is 2164338041. The reversal of 2164338006 is 6008334612.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11595 + ... + 66806.

It is an arithmetic number, because the mean of its divisors is an integer number (139712364).

Almost surely, 22164338006 is an apocalyptic number.

2164338006 is an abundant number, since it is smaller than the sum of its proper divisors (2306457642).

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

2164338006 is a wasteful number, since it uses less digits than its factorization.

2164338006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78556.

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 2164338006 is about 46522.4462598432. The cubic root of 2164338006 is about 1293.5256011469.

The spelling of 2164338006 in words is "two billion, one hundred sixty-four million, three hundred thirty-eight thousand, six".

Divisors: 1 2 3 6 43 86 107 129 214 258 321 642 4601 9202 13803 27606 78401 156802 235203 470406 3371243 6742486 8388907 10113729 16777814 20227458 25166721 50333442 360723001 721446002 1082169003 2164338006