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5843484864 = 263276797223
BaseRepresentation
bin1010111000100110…
…01000000011000000
3120002020112210021100
411130103020003000
543431413003424
62403502054400
7264543542010
oct53423100300
916066483240
105843484864
112529549738
121170b7a400
13721828569
143d6109c40
1524301cdc9
hex15c4c80c0

5843484864 has 336 divisors, whose sum is σ = 19716057088. Its totient is φ = 1620393984.

The previous prime is 5843484863. The next prime is 5843484887. The reversal of 5843484864 is 4684843485.

It is a happy number.

5843484864 is a `hidden beast` number, since 5 + 84 + 3 + 484 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 5843484864.

It is not an unprimeable number, because it can be changed into a prime (5843484863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26203857 + ... + 26204079.

Almost surely, 25843484864 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 5843484864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9858028544).

5843484864 is an abundant number, since it is smaller than the sum of its proper divisors (13872572224).

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

5843484864 is a wasteful number, since it uses less digits than its factorization.

5843484864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 399 counting only the distinct ones).

The product of its digits is 11796480, while the sum is 54.

The square root of 5843484864 is about 76442.6900625560. The cubic root of 5843484864 is about 1801.1807956020.

The spelling of 5843484864 in words is "five billion, eight hundred forty-three million, four hundred eighty-four thousand, eight hundred sixty-four".