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5581046016 = 283371319467
BaseRepresentation
bin1010011001010100…
…00000000100000000
3112101221201111212000
411030222000010000
542412221433031
62321445104000
7255206052120
oct51452000400
915357644760
105581046016
11240439a527
1210b90b8000
136ac34c1c0
143ad312c80
15229e7d3e6
hex14ca80100

5581046016 has 576 divisors, whose sum is σ = 21427660800. Its totient is φ = 1391468544.

The previous prime is 5581046011. The next prime is 5581046017. The reversal of 5581046016 is 6106401855.

5581046016 is a `hidden beast` number, since 5 + 581 + 0 + 4 + 60 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×55810460162 = 62296149265418944512, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5581046011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11950615 + ... + 11951081.

It is an arithmetic number, because the mean of its divisors is an integer number (37200800).

Almost surely, 25581046016 is an apocalyptic number.

5581046016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5581046016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10713830400).

5581046016 is an abundant number, since it is smaller than the sum of its proper divisors (15846614784).

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

5581046016 is a wasteful number, since it uses less digits than its factorization.

5581046016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 5581046016 is about 74706.3987620873. The cubic root of 5581046016 is about 1773.8022485939.

The spelling of 5581046016 in words is "five billion, five hundred eighty-one million, forty-six thousand, sixteen".