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2081288682 = 235111722901
BaseRepresentation
bin111110000001101…
…1111000111101010
312101001022102100000
41330003133013222
513230302214212
6542305123430
7102401443014
oct17403370752
95331272300
102081288682
11978918aa0
124a1029576
13272269185
1415a5b91b4
15c2abd1dc
hex7c0df1ea

2081288682 has 96 divisors (see below), whose sum is σ = 5401940544. Its totient is φ = 593568000.

The previous prime is 2081288621. The next prime is 2081288687. The reversal of 2081288682 is 2868821802.

It is not an unprimeable number, because it can be changed into a prime (2081288687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79432 + ... + 102332.

It is an arithmetic number, because the mean of its divisors is an integer number (56270214).

Almost surely, 22081288682 is an apocalyptic number.

2081288682 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2081288682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2700970272).

2081288682 is an abundant number, since it is smaller than the sum of its proper divisors (3320651862).

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

2081288682 is a wasteful number, since it uses less digits than its factorization.

2081288682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22946 (or 22934 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 2081288682 is about 45621.1429273752. The cubic root of 2081288682 is about 1276.7644277323.

The spelling of 2081288682 in words is "two billion, eighty-one million, two hundred eighty-eight thousand, six hundred eighty-two".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 81 99 102 153 162 187 198 243 297 306 374 459 486 561 594 891 918 1122 1377 1683 1782 2673 2754 3366 4131 5049 5346 8262 10098 15147 22901 30294 45441 45802 68703 90882 137406 206109 251911 389317 412218 503822 618327 755733 778634 1167951 1236654 1511466 1854981 2267199 2335902 3503853 3709962 4282487 4534398 5564943 6801597 7007706 8564974 10511559 11129886 12847461 13603194 20404791 21023118 25694922 31534677 38542383 40809582 61214373 63069354 77084766 94604031 115627149 122428746 189208062 231254298 346881447 693762894 1040644341 2081288682