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2066335488 = 2833726101
BaseRepresentation
bin111101100101001…
…1100011100000000
312100000011201102000
41323022130130000
513212440213423
6541012424000
7102130363500
oct17312343400
95300151360
102066335488
11970435488
12498018000
1326c131c29
14158605a00
15c1617843
hex7b29c700

2066335488 has 216 divisors, whose sum is σ = 7109318160. Its totient is φ = 590284800.

The previous prime is 2066335483. The next prime is 2066335489. The reversal of 2066335488 is 8845336602.

It is a happy number.

2066335488 is a `hidden beast` number, since 2 + 0 + 6 + 633 + 5 + 4 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2066335483) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 335638 + ... + 341738.

It is an arithmetic number, because the mean of its divisors is an integer number (32913510).

Almost surely, 22066335488 is an apocalyptic number.

2066335488 is a gapful number since it is divisible by the number (28) 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 2066335488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3554659080).

2066335488 is an abundant number, since it is smaller than the sum of its proper divisors (5042982672).

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

2066335488 is an equidigital number, since it uses as much as digits as its factorization.

2066335488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6140 (or 6113 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 2066335488 is about 45456.9630309813. The cubic root of 2066335488 is about 1273.6994017684.

The spelling of 2066335488 in words is "two billion, sixty-six million, three hundred thirty-five thousand, four hundred eighty-eight".