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5074943328 = 253372139221
BaseRepresentation
bin1001011100111110…
…10111110101100000
3111002200101211111000
410232133113311200
540343141141303
62155325352000
7236522210100
oct45637276540
914080354430
105074943328
112174745044
12b97708600
1362b53b460
1436200d200
151ea80bda3
hex12e7d7d60

5074943328 has 288 divisors, whose sum is σ = 18545073120. Its totient is φ = 1338301440.

The previous prime is 5074943327. The next prime is 5074943329. The reversal of 5074943328 is 8233494705.

5074943328 is a `hidden beast` number, since 507 + 4 + 94 + 33 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (5074943327) and next prime (5074943329).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5074943327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 545758 + ... + 554978.

It is an arithmetic number, because the mean of its divisors is an integer number (64392615).

Almost surely, 25074943328 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 5074943328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9272536560).

5074943328 is an abundant number, since it is smaller than the sum of its proper divisors (13470129792).

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

5074943328 is a wasteful number, since it uses less digits than its factorization.

5074943328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9267 (or 9246 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 5074943328 is about 71238.6364833017. The cubic root of 5074943328 is about 1718.4770330000.

The spelling of 5074943328 in words is "five billion, seventy-four million, nine hundred forty-three thousand, three hundred twenty-eight".