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2020314816 = 2632131759269
BaseRepresentation
bin111100001101011…
…1000111011000000
312012210120121220200
41320122320323000
513114200033231
6532250205200
7101031251442
oct17032707300
95183517820
102020314816
11947462473
12484723800
1326273ab70
14152466492
15bc576be6
hex786b8ec0

2020314816 has 336 divisors, whose sum is σ = 6740042400. Its totient is φ = 573014016.

The previous prime is 2020314781. The next prime is 2020314823. The reversal of 2020314816 is 6184130202.

It is a super-2 number, since 2×20203148162 = 8163343911498227712, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2020314816.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7510330 + ... + 7510598.

It is an arithmetic number, because the mean of its divisors is an integer number (20059650).

Almost surely, 22020314816 is an apocalyptic number.

2020314816 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 2020314816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3370021200).

2020314816 is an abundant number, since it is smaller than the sum of its proper divisors (4719727584).

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

2020314816 is a wasteful number, since it uses less digits than its factorization.

2020314816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2020314816 is about 44947.9122540747. The cubic root of 2020314816 is about 1264.1725315950.

The spelling of 2020314816 in words is "two billion, twenty million, three hundred fourteen thousand, eight hundred sixteen".