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5763998240 = 25571113172973
BaseRepresentation
bin1010101111000111…
…11010001000100000
3112212200222110010022
411113203322020200
543301040420430
62351542253012
7262560114410
oct52743721040
915780873108
105763998240
112498699210
12114a427168
1370b217a60
143c9738640
1523b06b4e5
hex1578fa220

5763998240 has 768 divisors, whose sum is σ = 20300958720. Its totient is φ = 1486356480.

The previous prime is 5763998159. The next prime is 5763998263. The reversal of 5763998240 is 428993675.

It is a happy number.

It is a Cunningham number, because it is equal to 759212-1.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 78958844 + ... + 78958916.

It is an arithmetic number, because the mean of its divisors is an integer number (26433540).

Almost surely, 25763998240 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 5763998240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10150479360).

5763998240 is an abundant number, since it is smaller than the sum of its proper divisors (14536960480).

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

5763998240 is a wasteful number, since it uses less digits than its factorization.

5763998240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 53.

The square root of 5763998240 is about 75920.9999934142. Note that the first 5 decimals coincide. The cubic root of 5763998240 is about 1792.9765650005.

The spelling of 5763998240 in words is "five billion, seven hundred sixty-three million, nine hundred ninety-eight thousand, two hundred forty".