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5705823816 = 2333721149009
BaseRepresentation
bin1010101000001011…
…11111011001001000
3112201122111212211000
411110011333121020
543141142330231
62342103335000
7261252462600
oct52405773110
915648455730
105705823816
112468874980
121132a51460
136cc159a14
143c1b13c00
15235dc96e6
hex15417f648

5705823816 has 192 divisors, whose sum is σ = 20113704000. Its totient is φ = 1482001920.

The previous prime is 5705823803. The next prime is 5705823833. The reversal of 5705823816 is 6183285075.

5705823816 is a `hidden beast` number, since 57 + 0 + 582 + 3 + 8 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91920 + ... + 140928.

It is an arithmetic number, because the mean of its divisors is an integer number (104758875).

Almost surely, 25705823816 is an apocalyptic number.

5705823816 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 5705823816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10056852000).

5705823816 is an abundant number, since it is smaller than the sum of its proper divisors (14407880184).

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

5705823816 is a wasteful number, since it uses less digits than its factorization.

5705823816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49049 (or 49032 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 5705823816 is about 75536.9036696633. The cubic root of 5705823816 is about 1786.9241534735.

The spelling of 5705823816 in words is "five billion, seven hundred five million, eight hundred twenty-three thousand, eight hundred sixteen".