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2109730668 = 2231731449743
BaseRepresentation
bin111110110111111…
…1110111101101100
312110000211102101220
41331233332331230
513310042340133
6545202503340
7103165262163
oct17557767554
95400742356
102109730668
11992984971
124aa664b50
13278116c56
141602a03da
15c533a5b3
hex7dbfef6c

2109730668 has 96 divisors (see below), whose sum is σ = 5399654400. Its totient is φ = 638238720.

The previous prime is 2109730661. The next prime is 2109730669. The reversal of 2109730668 is 8660379012.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2109730661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2839105 + ... + 2839847.

It is an arithmetic number, because the mean of its divisors is an integer number (56246400).

Almost surely, 22109730668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2109730668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2699827200).

2109730668 is an abundant number, since it is smaller than the sum of its proper divisors (3289923732).

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

2109730668 is a wasteful number, since it uses less digits than its factorization.

2109730668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 2109730668 is about 45931.8045367260. The cubic root of 2109730668 is about 1282.5540369907.

The spelling of 2109730668 in words is "two billion, one hundred nine million, seven hundred thirty thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 17 31 34 51 62 68 93 102 124 186 204 372 449 527 743 898 1054 1347 1486 1581 1796 2108 2229 2694 2972 3162 4458 5388 6324 7633 8916 12631 13919 15266 22899 23033 25262 27838 30532 37893 41757 45798 46066 50524 55676 69099 75786 83514 91596 92132 138198 151572 167028 236623 276396 333607 391561 473246 667214 709869 783122 946492 1000821 1174683 1334428 1419738 1566244 2001642 2349366 2839476 4003284 4698732 5671319 10341817 11342638 17013957 20683634 22685276 31025451 34027914 41367268 62050902 68055828 124101804 175810889 351621778 527432667 703243556 1054865334 2109730668