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5733105840 = 24325721121779
BaseRepresentation
bin1010101011011100…
…00100000010110000
3112210112211221201100
411111232010002300
543220133341330
62344520204400
7262033411200
oct52556040260
915715757640
105733105840
112482209300
121140009700
137049bc827
143c55b6400
152384b8060
hex155b840b0

5733105840 has 1080 divisors, whose sum is σ = 26396435520. Its totient is φ = 1107025920.

The previous prime is 5733105839. The next prime is 5733105863. The reversal of 5733105840 is 485013375.

5733105840 is a `hidden beast` number, since 5 + 73 + 3 + 1 + 0 + 584 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5733105795 and 5733105804.

It is an unprimeable number.

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 215 ways as a sum of consecutive naturals, for example, 72570921 + ... + 72570999.

It is an arithmetic number, because the mean of its divisors is an integer number (24441144).

Almost surely, 25733105840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5733105840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13198217760).

5733105840 is an abundant number, since it is smaller than the sum of its proper divisors (20663329680).

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

5733105840 is a wasteful number, since it uses less digits than its factorization.

5733105840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5733105840 is about 75717.2757037653. The cubic root of 5733105840 is about 1789.7676466711.

The spelling of 5733105840 in words is "five billion, seven hundred thirty-three million, one hundred five thousand, eight hundred forty".