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2982108168 = 2332133186013
BaseRepresentation
bin1011000110111111…
…0101110000001000
321200211100210100200
42301233311300020
522101404430133
61211524532200
7133620333624
oct26157656010
97624323320
102982108168
1112a0360006
126b2851060
13386a8b860
142040aa184
15126c0c913
hexb1bf5c08

2982108168 has 48 divisors (see below), whose sum is σ = 8697818220. Its totient is φ = 917571456.

The previous prime is 2982108139. The next prime is 2982108169. The reversal of 2982108168 is 8618012892.

It is a happy number.

2982108168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2710451844 + 271656324 = 52062^2 + 16482^2 .

It is not an unprimeable number, because it can be changed into a prime (2982108169) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1592071 + ... + 1593942.

Almost surely, 22982108168 is an apocalyptic number.

It is an amenable number.

2982108168 is an abundant number, since it is smaller than the sum of its proper divisors (5715710052).

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

2982108168 is a wasteful number, since it uses less digits than its factorization.

2982108168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3186038 (or 3186031 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 2982108168 is about 54608.6821668496. The cubic root of 2982108168 is about 1439.3766862519.

The spelling of 2982108168 in words is "two billion, nine hundred eighty-two million, one hundred eight thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 3186013 6372026 9558039 12744052 19116078 25488104 28674117 38232156 41418169 57348234 76464312 82836338 114696468 124254507 165672676 229392936 248509014 331345352 372763521 497018028 745527042 994036056 1491054084 2982108168