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4753427120 = 24513172973127
BaseRepresentation
bin1000110110101001…
…11000101010110000
3110021021102010011022
410123110320222300
534213334131440
62103402235012
7225536315051
oct43324705260
913237363138
104753427120
11201a205172
12b07ab5a68
135a9a49090
14331438728
151cc49ccb5
hex11b538ab0

4753427120 has 320 divisors, whose sum is σ = 13319147520. Its totient is φ = 1560674304.

The previous prime is 4753427101. The next prime is 4753427153. The reversal of 4753427120 is 217243574.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37428497 + ... + 37428623.

It is an arithmetic number, because the mean of its divisors is an integer number (41622336).

Almost surely, 24753427120 is an apocalyptic number.

4753427120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4753427120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6659573760).

4753427120 is an abundant number, since it is smaller than the sum of its proper divisors (8565720400).

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

4753427120 is a wasteful number, since it uses less digits than its factorization.

4753427120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 35.

The square root of 4753427120 is about 68945.1022190844. The cubic root of 4753427120 is about 1681.3918831628.

The spelling of 4753427120 in words is "four billion, seven hundred fifty-three million, four hundred twenty-seven thousand, one hundred twenty".