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2118168162 = 2321121019629
BaseRepresentation
bin111111001000000…
…1010111001100010
312110121201002110200
41332100022321202
513314222340122
6550103410030
7103330063245
oct17620127142
95417632420
102118168162
11997718100
124b1453916
13279aac556
1416145925c
15c5e555ac
hex7e40ae62

2118168162 has 72 divisors (see below), whose sum is σ = 5094982620. Its totient is φ = 635448000.

The previous prime is 2118168137. The next prime is 2118168251. The reversal of 2118168162 is 2618618112.

It can be written as a sum of positive squares in 2 ways, for example, as 1373369481 + 744798681 = 37059^2 + 27291^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 215164 + ... + 224792.

Almost surely, 22118168162 is an apocalyptic number.

2118168162 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 2118168162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547491310).

2118168162 is an abundant number, since it is smaller than the sum of its proper divisors (2976814458).

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

2118168162 is a wasteful number, since it uses less digits than its factorization.

2118168162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9760 (or 9746 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 2118168162 is about 46023.5609443685. The cubic root of 2118168162 is about 1284.2615452592.

The spelling of 2118168162 in words is "two billion, one hundred eighteen million, one hundred sixty-eight thousand, one hundred sixty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 101 121 198 202 242 303 363 606 726 909 1089 1111 1818 2178 2222 3333 6666 9629 9999 12221 19258 19998 24442 28887 36663 57774 73326 86661 105919 109989 173322 211838 219978 317757 635514 953271 972529 1165109 1906542 1945058 2330218 2917587 3495327 5835174 6990654 8752761 10485981 10697819 17505522 20971962 21395638 32093457 64186914 96280371 117676009 192560742 235352018 353028027 706056054 1059084081 2118168162