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9009750528 = 2934892441
BaseRepresentation
bin10000110010000010…
…11110001000000000
3212020220102202020000
420121001132020000
5121422444004103
64050010120000
7436161421152
oct103101361000
925226382200
109009750528
113903850a19
1218b5420000
13b077b543c
14616832ad2
1537aea5aa3
hex21905e200

9009750528 has 200 divisors, whose sum is σ = 27205027740. Its totient is φ = 2968289280.

The previous prime is 9009750523. The next prime is 9009750577. The reversal of 9009750528 is 8250579009.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7640158464 + 1369592064 = 87408^2 + 37008^2 .

It is not an unprimeable number, because it can be changed into a prime (9009750523) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3689788 + ... + 3692228.

Almost surely, 29009750528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9009750528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13602513870).

9009750528 is an abundant number, since it is smaller than the sum of its proper divisors (18195277212).

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

9009750528 is an equidigital number, since it uses as much as digits as its factorization.

9009750528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2560 (or 2535 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 9009750528 is about 94919.7056885450. The cubic root of 9009750528 is about 2080.8347339979.

It can be divided in two parts, 90097 and 50528, that added together give a square (140625 = 3752).

The spelling of 9009750528 in words is "nine billion, nine million, seven hundred fifty thousand, five hundred twenty-eight".