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5057744328 = 2334721312253
BaseRepresentation
bin1001011010111011…
…10000110111001000
3111001111001000220000
410231131300313020
540324240304303
62153513003000
7236223055200
oct45535606710
914044030800
105057744328
112165a6819a
12b919b3460
13627ac8c30
1435da13400
151e9060da3
hex12d770dc8

5057744328 has 240 divisors, whose sum is σ = 17748325980. Its totient is φ = 1333801728.

The previous prime is 5057744317. The next prime is 5057744339. The reversal of 5057744328 is 8234477505.

5057744328 is a `hidden beast` number, since 5 + 0 + 577 + 44 + 32 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (5057744317) and next prime (5057744339).

It can be written as a sum of positive squares in 2 ways, for example, as 4855023684 + 202720644 = 69678^2 + 14238^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 406650 + ... + 418902.

Almost surely, 25057744328 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 5057744328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8874162990).

5057744328 is an abundant number, since it is smaller than the sum of its proper divisors (12690581652).

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

5057744328 is a wasteful number, since it uses less digits than its factorization.

5057744328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12298 (or 12278 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The square root of 5057744328 is about 71117.8200453304. The cubic root of 5057744328 is about 1716.5335276810.

The spelling of 5057744328 in words is "five billion, fifty-seven million, seven hundred forty-four thousand, three hundred twenty-eight".