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9285808896 = 283472131937
BaseRepresentation
bin10001010010111101…
…00011001100000000
3212222010212222010000
420221132203030000
5123004131341041
64133231040000
7446053034100
oct105136431400
925863788100
109285808896
113a35662731
121971970000
13b4ca4c9a0
14641373200
15395335bb6
hex2297a3300

9285808896 has 1080 divisors, whose sum is σ = 37499264880. Its totient is φ = 2257403904.

The previous prime is 9285808891. The next prime is 9285808907. The reversal of 9285808896 is 6988085829.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (9285808891) 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 119 ways as a sum of consecutive naturals, for example, 250967790 + ... + 250967826.

Almost surely, 29285808896 is an apocalyptic number.

9285808896 is a gapful number since it is divisible by the number (96) 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 9285808896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18749632440).

9285808896 is an abundant number, since it is smaller than the sum of its proper divisors (28213455984).

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

9285808896 is a wasteful number, since it uses less digits than its factorization.

9285808896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The square root of 9285808896 is about 96362.9020733602. The cubic root of 9285808896 is about 2101.8735280233.

The spelling of 9285808896 in words is "nine billion, two hundred eighty-five million, eight hundred eight thousand, eight hundred ninety-six".