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2982108162 = 2311483409
BaseRepresentation
bin1011000110111111…
…0101110000000010
321200211100210100110
42301233311300002
522101404430122
61211524532150
7133620333615
oct26157656002
97624323313
102982108162
1112a0360000
126b2851056
13386a8b857
142040aa17c
15126c0c90c
hexb1bf5c02

2982108162 has 80 divisors (see below), whose sum is σ = 6655874400. Its totient is φ = 890598720.

The previous prime is 2982108139. The next prime is 2982108169. The reversal of 2982108162 is 2618012892.

2982108162 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2982108162.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 7291014 + ... + 7291422.

It is an arithmetic number, because the mean of its divisors is an integer number (83198430).

Almost surely, 22982108162 is an apocalyptic number.

2982108162 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 2982108162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3327937200).

2982108162 is an abundant number, since it is smaller than the sum of its proper divisors (3673766238).

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

2982108162 is an equidigital number, since it uses as much as digits as its factorization.

2982108162 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 2982108162 is about 54608.6821119133. The cubic root of 2982108162 is about 1439.3766852865.

The spelling of 2982108162 in words is "two billion, nine hundred eighty-two million, one hundred eight thousand, one hundred sixty-two".

Divisors: 1 2 3 6 11 22 33 66 83 121 166 242 249 363 409 498 726 818 913 1227 1331 1826 2454 2662 2739 3993 4499 5478 7986 8998 10043 13497 14641 20086 26994 29282 30129 33947 43923 49489 60258 67894 87846 98978 101841 110473 148467 203682 220946 296934 331419 373417 544379 662838 746834 1088758 1120251 1215203 1633137 2240502 2430406 3266274 3645609 4107587 5988169 7291218 8215174 11976338 12322761 17964507 24645522 35929014 45183457 90366914 135550371 271100742 497018027 994036054 1491054081 2982108162