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2109666006 = 233710951203
BaseRepresentation
bin111110110111110…
…1111001011010110
312110000201010201000
41331233233023112
513310033303011
6545201244130
7103164602520
oct17557571326
95400633630
102109666006
11992940328
124aa633646
132780c36a6
14160284a10
15c5326356
hex7dbef2d6

2109666006 has 64 divisors (see below), whose sum is σ = 5407142400. Its totient is φ = 597220128.

The previous prime is 2109665989. The next prime is 2109666019. The reversal of 2109666006 is 6006669012.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15601 + ... + 66803.

It is an arithmetic number, because the mean of its divisors is an integer number (84486600).

Almost surely, 22109666006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2109666006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2703571200).

2109666006 is an abundant number, since it is smaller than the sum of its proper divisors (3297476394).

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

2109666006 is a wasteful number, since it uses less digits than its factorization.

2109666006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51330 (or 51324 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2109666006 is about 45931.1006399803. The cubic root of 2109666006 is about 1282.5409336820.

The spelling of 2109666006 in words is "two billion, one hundred nine million, six hundred sixty-six thousand, six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 109 126 189 218 327 378 654 763 981 1526 1962 2289 2943 4578 5886 6867 13734 20601 41202 51203 102406 153609 307218 358421 460827 716842 921654 1075263 1382481 2150526 2764962 3225789 5581127 6451578 9677367 11162254 16743381 19354734 33486762 39067889 50230143 78135778 100460286 117203667 150690429 234407334 301380858 351611001 703222002 1054833003 2109666006