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5533145856 = 28337217312
BaseRepresentation
bin1010010011100110…
…10001101100000000
3112021121120221012000
411021303101230000
542312441131411
62313014304000
7254054651400
oct51163215400
915247527160
105533145856
11238a353417
1210a5058000
136a244a804
143a6c04800
15225b6a956
hex149cd1b00

5533145856 has 648 divisors, whose sum is σ = 20824639920. Its totient is φ = 1439907840.

The previous prime is 5533145851. The next prime is 5533145867. The reversal of 5533145856 is 6585413355.

5533145856 is a `hidden beast` number, since 5 + 53 + 3 + 14 + 585 + 6 = 666.

Its product of digits (1080000) is a multiple of the sum of its prime divisors (60).

It is not an unprimeable number, because it can be changed into a prime (5533145851) 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 71 ways as a sum of consecutive naturals, for example, 178488561 + ... + 178488591.

It is an arithmetic number, because the mean of its divisors is an integer number (32136790).

Almost surely, 25533145856 is an apocalyptic number.

5533145856 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 5533145856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10412319960).

5533145856 is an abundant number, since it is smaller than the sum of its proper divisors (15291494064).

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

5533145856 is a wasteful number, since it uses less digits than its factorization.

5533145856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 60 counting only the distinct ones).

The product of its digits is 1080000, while the sum is 45.

The square root of 5533145856 is about 74385.1185117023. The cubic root of 5533145856 is about 1768.7130202143.

The spelling of 5533145856 in words is "five billion, five hundred thirty-three million, one hundred forty-five thousand, eight hundred fifty-six".