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5424226560 = 283655813
BaseRepresentation
bin1010000110100111…
…10010000100000000
3112000000122021000000
411003103302010000
542102100222220
62254124000000
7251263110414
oct50323620400
915000567000
105424226560
11233391a775
121074690000
13685a0331c
14396570d44
1521b303390
hex1434f2100

5424226560 has 252 divisors, whose sum is σ = 19483516332. Its totient is φ = 1446211584.

The previous prime is 5424226543. The next prime is 5424226579. The reversal of 5424226560 is 656224245.

5424226560 is a `hidden beast` number, since 5 + 424 + 226 + 5 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2869530624 + 2554695936 = 53568^2 + 50544^2 .

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

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 930214 + ... + 936026.

It is an arithmetic number, because the mean of its divisors is an integer number (77315541).

Almost surely, 25424226560 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 5424226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9741758166).

5424226560 is an abundant number, since it is smaller than the sum of its proper divisors (14059289772).

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

5424226560 is an frugal number, since it uses more digits than its factorization.

5424226560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5852 (or 5823 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 5424226560 is about 73649.3486732911. The cubic root of 5424226560 is about 1757.0303917140.

The spelling of 5424226560 in words is "five billion, four hundred twenty-four million, two hundred twenty-six thousand, five hundred sixty".