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9445681152 = 211323161271
BaseRepresentation
bin10001100110000000…
…11010100000000000
3220101021201022121200
420303000122200000
5123321043244102
64201141421200
7453033652005
oct106300324000
926337638550
109445681152
114007928066
1219b740a800
13b76bc725b
146586ab8ac
153a43b551c
hex23301a800

9445681152 has 288 divisors, whose sum is σ = 28728161280. Its totient is φ = 2985984000.

The previous prime is 9445681139. The next prime is 9445681159. The reversal of 9445681152 is 2511865449.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 9445681098 and 9445681107.

It is not an unprimeable number, because it can be changed into a prime (9445681159) 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, 34854777 + ... + 34855047.

It is an arithmetic number, because the mean of its divisors is an integer number (99750560).

Almost surely, 29445681152 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 9445681152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14364080640).

9445681152 is an abundant number, since it is smaller than the sum of its proper divisors (19282480128).

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

9445681152 is a wasteful number, since it uses less digits than its factorization.

9445681152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 368 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 9445681152 is about 97188.8941803538. The cubic root of 9445681152 is about 2113.8674942240.

The spelling of 9445681152 in words is "nine billion, four hundred forty-five million, six hundred eighty-one thousand, one hundred fifty-two".