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551780064 = 2532111989103
BaseRepresentation
bin100000111000110…
…111111011100000
31102110021022221200
4200320313323200
52112223430224
6130430321200
716450024143
oct4070677340
91373238850
10551780064
11263513590
12134959200
138a4147a4
14533d405a
15336955c9
hex20e37ee0

551780064 has 288 divisors, whose sum is σ = 1839801600. Its totient is φ = 155105280.

The previous prime is 551780059. The next prime is 551780081. The reversal of 551780064 is 460087155.

551780064 is a `hidden beast` number, since 5 + 517 + 80 + 0 + 64 = 666.

551780064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×5517800642 = 608922478055688192, which contains 22 as substring.

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

It is a congruent number.

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, 5357037 + ... + 5357139.

It is an arithmetic number, because the mean of its divisors is an integer number (6388200).

Almost surely, 2551780064 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 551780064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919900800).

551780064 is an abundant number, since it is smaller than the sum of its proper divisors (1288021536).

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

551780064 is a wasteful number, since it uses less digits than its factorization.

551780064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 551780064 is about 23489.9992337165. Note that the first 3 decimals coincide. The cubic root of 551780064 is about 820.2042243659.

Adding to 551780064 its sum of digits (36), we get a square (551780100 = 234902).

The spelling of 551780064 in words is "five hundred fifty-one million, seven hundred eighty thousand, sixty-four".