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2017117216 = 25194437489
BaseRepresentation
bin111100000111010…
…1100010000100000
312012120120011122001
41320032230100200
513112340222331
6532053453344
7100662133132
oct17016542040
95176504561
102017117216
11945679024
12483641254
13261b8b5aa
14151c73052
15bc144561
hex783ac420

2017117216 has 48 divisors (see below), whose sum is σ = 4190205600. Its totient is φ = 953192448.

The previous prime is 2017117199. The next prime is 2017117217. The reversal of 2017117216 is 6127117102.

It is not an unprimeable number, because it can be changed into a prime (2017117217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 265600 + ... + 273088.

It is an arithmetic number, because the mean of its divisors is an integer number (87295950).

Almost surely, 22017117216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2017117216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2095102800).

2017117216 is an abundant number, since it is smaller than the sum of its proper divisors (2173088384).

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

2017117216 is a wasteful number, since it uses less digits than its factorization.

2017117216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7961 (or 7953 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 28.

The square root of 2017117216 is about 44912.3281071022. The cubic root of 2017117216 is about 1263.5052341758.

The spelling of 2017117216 in words is "two billion, seventeen million, one hundred seventeen thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 443 608 886 1772 3544 7088 7489 8417 14176 14978 16834 29956 33668 59912 67336 119824 134672 142291 239648 269344 284582 569164 1138328 2276656 3317627 4553312 6635254 13270508 26541016 53082032 63034913 106164064 126069826 252139652 504279304 1008558608 2017117216