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9947484720 = 2433517614441
BaseRepresentation
bin10010100001110101…
…01001001000110000
3221200020221120201000
421100322221020300
5130333024002340
64323025042000
7501336140115
oct112072511060
927606846630
109947484720
114245106558
121b17486300
13c26b61244
146a51b290c
153d3487d30
hex250ea9230

9947484720 has 320 divisors, whose sum is σ = 36882103680. Its totient is φ = 2455142400.

The previous prime is 9947484719. The next prime is 9947484727. The reversal of 9947484720 is 274847499.

It is a happy number.

9947484720 is a `hidden beast` number, since 9 + 94 + 7 + 484 + 72 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (9947484727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2237700 + ... + 2242140.

It is an arithmetic number, because the mean of its divisors is an integer number (115256574).

Almost surely, 29947484720 is an apocalyptic number.

9947484720 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 9947484720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18441051840).

9947484720 is an abundant number, since it is smaller than the sum of its proper divisors (26934618960).

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

9947484720 is a wasteful number, since it uses less digits than its factorization.

9947484720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4541 (or 4529 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 9947484720 is about 99737.0779600044. The cubic root of 9947484720 is about 2150.6567108729.

The spelling of 9947484720 in words is "nine billion, nine hundred forty-seven million, four hundred eighty-four thousand, seven hundred twenty".