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4744938816 = 2632171732801
BaseRepresentation
bin1000110101101001…
…00000010101000000
3110020200102212101200
410122310200111000
534204201020231
62102500301200
7225404212602
oct43264402500
913220385350
104744938816
112015437842
12b050a1800
135a8066607
14330269172
151cb872be6
hex11ad20540

4744938816 has 168 divisors, whose sum is σ = 14488951464. Its totient is φ = 1479475200.

The previous prime is 4744938797. The next prime is 4744938827. The reversal of 4744938816 is 6188394474.

4744938816 is a `hidden beast` number, since 4 + 74 + 493 + 8 + 81 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2373638400 + 2371300416 = 48720^2 + 48696^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1692616 + ... + 1695416.

Almost surely, 24744938816 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 4744938816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7244475732).

4744938816 is an abundant number, since it is smaller than the sum of its proper divisors (9744012648).

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

4744938816 is a wasteful number, since it uses less digits than its factorization.

4744938816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3009 (or 2996 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 4744938816 is about 68883.5162865544. The cubic root of 4744938816 is about 1680.3904534643.

The spelling of 4744938816 in words is "four billion, seven hundred forty-four million, nine hundred thirty-eight thousand, eight hundred sixteen".