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4495840128 = 2732131717659
BaseRepresentation
bin1000010111111100…
…10001001110000000
3102121022201100020100
410023332101032000
533201413341003
62022041242400
7216261003423
oct41376211600
912538640210
104495840128
1119a786a25a
12a55793400
1356857b240
143091459ba
151b4a6aba3
hex10bf91380

4495840128 has 192 divisors, whose sum is σ = 14752810800. Its totient is φ = 1301889024.

The previous prime is 4495840121. The next prime is 4495840157. The reversal of 4495840128 is 8210485944.

4495840128 is a `hidden beast` number, since 4 + 49 + 584 + 0 + 1 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4495840121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245763 + ... + 263421.

Almost surely, 24495840128 is an apocalyptic number.

4495840128 is a gapful number since it is divisible by the number (48) 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 4495840128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7376405400).

4495840128 is an abundant number, since it is smaller than the sum of its proper divisors (10256970672).

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

4495840128 is a wasteful number, since it uses less digits than its factorization.

4495840128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17709 (or 17694 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 4495840128 is about 67051.0263008703. The cubic root of 4495840128 is about 1650.4547418787.

The spelling of 4495840128 in words is "four billion, four hundred ninety-five million, eight hundred forty thousand, one hundred twenty-eight".