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2000559456 = 2532721731269
BaseRepresentation
bin111011100111110…
…0001110101100000
312011102101221122200
41313033201311200
513044120400311
6530302533200
7100401321600
oct16717416540
95142357580
102000559456
11937299a25
12479b97200
1325b611bbc
1414d9a2c00
15ba973556
hex773e1d60

2000559456 has 432 divisors, whose sum is σ = 7260140160. Its totient is φ = 518676480.

The previous prime is 2000559443. The next prime is 2000559493. The reversal of 2000559456 is 6549550002.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2000559456.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7436890 + ... + 7437158.

It is an arithmetic number, because the mean of its divisors is an integer number (16805880).

Almost surely, 22000559456 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 2000559456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3630070080).

2000559456 is an abundant number, since it is smaller than the sum of its proper divisors (5259580704).

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

2000559456 is a wasteful number, since it uses less digits than its factorization.

2000559456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 2000559456 is about 44727.6140208708. The cubic root of 2000559456 is about 1260.0385173411.

The spelling of 2000559456 in words is "two billion, five hundred fifty-nine thousand, four hundred fifty-six".