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5706550800 = 2432525967401
BaseRepresentation
bin1010101000010001…
…10000111000010000
3112201200212211001100
411110020300320100
543141334111200
62342131104400
7261261611226
oct52410607020
915650784040
105706550800
112469221095
121133142100
136cc3528a2
143c1c62b16
15235ebed00
hex154230e10

5706550800 has 360 divisors, whose sum is σ = 20490518880. Its totient is φ = 1469952000.

The previous prime is 5706550799. The next prime is 5706550831. The reversal of 5706550800 is 80556075.

5706550800 is a `hidden beast` number, since 570 + 6 + 5 + 5 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 14230600 + ... + 14231000.

It is an arithmetic number, because the mean of its divisors is an integer number (56918108).

Almost surely, 25706550800 is an apocalyptic number.

5706550800 is a gapful number since it is divisible by the number (50) 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 5706550800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10245259440).

5706550800 is an abundant number, since it is smaller than the sum of its proper divisors (14783968080).

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

5706550800 is a wasteful number, since it uses less digits than its factorization.

5706550800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 5706550800 is about 75541.7156278569. The cubic root of 5706550800 is about 1787.0000414400. Note that the first 4 decimals are identical.

The spelling of 5706550800 in words is "five billion, seven hundred six million, five hundred fifty thousand, eight hundred".