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4555782144 = 2113429947
BaseRepresentation
bin1000011111000101…
…11011100000000000
3102202111111201020000
410033202323200000
533312240012034
62032022120000
7220616336454
oct41742734000
912674451200
104555782144
111a28690611
12a71880000
13577b079a4
143130aa664
151b9e5b599
hex10f8bb800

4555782144 has 240 divisors, whose sum is σ = 14091877800. Its totient is φ = 1464680448.

The previous prime is 4555782137. The next prime is 4555782149. The reversal of 4555782144 is 4412875554.

4555782144 is a `hidden beast` number, since 4 + 5 + 557 + 82 + 14 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4555782144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4555782149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4810279 + ... + 4811225.

Almost surely, 24555782144 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 4555782144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7045938900).

4555782144 is an abundant number, since it is smaller than the sum of its proper divisors (9536095656).

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

4555782144 is an equidigital number, since it uses as much as digits as its factorization.

4555782144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 981 counting only the distinct ones).

The product of its digits is 896000, while the sum is 45.

The square root of 4555782144 is about 67496.5343110296. The cubic root of 4555782144 is about 1657.7574285367.

The spelling of 4555782144 in words is "four billion, five hundred fifty-five million, seven hundred eighty-two thousand, one hundred forty-four".