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2018212920 = 2332533116937
BaseRepresentation
bin111100001001011…
…0111110000111000
312012122121211122200
41320102313300320
513113130303140
6532133150200
7101004345453
oct17022676070
95178554580
102018212920
11946257269
12483a8b360
13262183239
1415207a49a
15bc2ae030
hex784b7c38

2018212920 has 96 divisors (see below), whose sum is σ = 6579396720. Its totient is φ = 536532480.

The previous prime is 2018212909. The next prime is 2018212951. The reversal of 2018212920 is 292128102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110692 + ... + 127628.

Almost surely, 22018212920 is an apocalyptic number.

2018212920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2018212920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3289698360).

2018212920 is an abundant number, since it is smaller than the sum of its proper divisors (4561183800).

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

2018212920 is a wasteful number, since it uses less digits than its factorization.

2018212920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17285 (or 17278 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2018212920 is about 44924.5247053322. The cubic root of 2018212920 is about 1263.7339726825.

The spelling of 2018212920 in words is "two billion, eighteen million, two hundred twelve thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 331 360 662 993 1324 1655 1986 2648 2979 3310 3972 4965 5958 6620 7944 9930 11916 13240 14895 16937 19860 23832 29790 33874 39720 50811 59580 67748 84685 101622 119160 135496 152433 169370 203244 254055 304866 338740 406488 508110 609732 677480 762165 1016220 1219464 1524330 2032440 3048660 5606147 6097320 11212294 16818441 22424588 28030735 33636882 44849176 50455323 56061470 67273764 84092205 100910646 112122940 134547528 168184410 201821292 224245880 252276615 336368820 403642584 504553230 672737640 1009106460 2018212920