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9140889664 = 26172192372
BaseRepresentation
bin10001000001101011…
…01110100001000000
3212121001012022022001
420200311232201000
5122210031432124
64111012553344
7442343165044
oct104065564100
925531168261
109140889664
113970880775
121931322854
13b28a0c56a
1462a00c024
1538775bb44
hex220d6e840

9140889664 has 189 divisors, whose sum is σ = 20900716263. Its totient is φ = 3965054976.

The previous prime is 9140889661. The next prime is 9140889673. The reversal of 9140889664 is 4669880419.

The square root of 9140889664 is 95608.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4252083264 + 4888806400 = 65208^2 + 69920^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9140889661) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 247051054 + ... + 247051090.

Almost surely, 29140889664 is an apocalyptic number.

9140889664 is the 95608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9140889664

9140889664 is an abundant number, since it is smaller than the sum of its proper divisors (11759826599).

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

9140889664 is a wasteful number, since it uses less digits than its factorization.

9140889664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 55.

The cubic root of 9140889664 is about 2090.8818317340.

The spelling of 9140889664 in words is "nine billion, one hundred forty million, eight hundred eighty-nine thousand, six hundred sixty-four".