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9494947440 = 24335112172137
BaseRepresentation
bin10001101011111000…
…10110011001110000
3220111201102022021000
420311330112121300
5123421201304230
64210101402000
7454202502336
oct106574263160
926451368230
109494947440
114032717600
121a0ba09300
13b841866c4
14661053b56
153a8897b60
hex235f16670

9494947440 has 480 divisors, whose sum is σ = 38080687680. Its totient is φ = 2165391360.

The previous prime is 9494947439. The next prime is 9494947459. The reversal of 9494947440 is 447494949.

9494947440 is a `hidden beast` number, since 9 + 49 + 494 + 74 + 40 = 666.

9494947440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 4442052 + ... + 4444188.

It is an arithmetic number, because the mean of its divisors is an integer number (79334766).

Almost surely, 29494947440 is an apocalyptic number.

9494947440 is a gapful number since it is divisible by the number (90) 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 9494947440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19040343840).

9494947440 is an abundant number, since it is smaller than the sum of its proper divisors (28585740240).

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

9494947440 is a wasteful number, since it uses less digits than its factorization.

9494947440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198 (or 2175 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 9494947440 is about 97442.0209150036. The cubic root of 9494947440 is about 2117.5362561960.

The spelling of 9494947440 in words is "nine billion, four hundred ninety-four million, nine hundred forty-seven thousand, four hundred forty".