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2017020096 = 2633713101127
BaseRepresentation
bin111100000111001…
…0100100011000000
312012120101020102000
41320032110203000
513112324120341
6532051424000
7100661250030
oct17016244300
95176336360
102017020096
11945612063
124835b5000
13261b56320
14151c498c0
15bc1258b6
hex783948c0

2017020096 has 448 divisors, whose sum is σ = 7428341760. Its totient is φ = 522547200.

The previous prime is 2017020041. The next prime is 2017020113. The reversal of 2017020096 is 6900207102.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15881985 + ... + 15882111.

It is an arithmetic number, because the mean of its divisors is an integer number (16581120).

Almost surely, 22017020096 is an apocalyptic number.

2017020096 is a gapful number since it is divisible by the number (26) 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 2017020096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3714170880).

2017020096 is an abundant number, since it is smaller than the sum of its proper divisors (5411321664).

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

2017020096 is a wasteful number, since it uses less digits than its factorization.

2017020096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 2017020096 is about 44911.2468764785. The cubic root of 2017020096 is about 1263.4849554670.

Adding to 2017020096 its reverse (6900207102), we get a palindrome (8917227198).

The spelling of 2017020096 in words is "two billion, seventeen million, twenty thousand, ninety-six".