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5705593344 = 2935112379
BaseRepresentation
bin1010101000001010…
…00111001000000000
3112201122002011200000
411110011013020000
543141112441334
62342054400000
7261250512633
oct52405071000
915648064600
105705593344
112468727800
121132960000
136cc0a8b49
143c1a93c1a
15235d81299
hex154147200

5705593344 has 360 divisors, whose sum is σ = 18819680880. Its totient is φ = 1724405760.

The previous prime is 5705593343. The next prime is 5705593357. The reversal of 5705593344 is 4433955075.

5705593344 is a `hidden beast` number, since 57 + 0 + 5 + 593 + 3 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5705593344.

It is not an unprimeable number, because it can be changed into a prime (5705593343) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15054147 + ... + 15054525.

Almost surely, 25705593344 is an apocalyptic number.

5705593344 is a gapful number since it is divisible by the number (54) 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 5705593344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9409840440).

5705593344 is an abundant number, since it is smaller than the sum of its proper divisors (13114087536).

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

5705593344 is an equidigital number, since it uses as much as digits as its factorization.

5705593344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The square root of 5705593344 is about 75535.3780953005. The cubic root of 5705593344 is about 1786.9000937559.

The spelling of 5705593344 in words is "five billion, seven hundred five million, five hundred ninety-three thousand, three hundred forty-four".