9545290000 has 75 divisors (see below), whose sum is σ = 23133779977. Its totient is φ = 3814208000.

The previous prime is 9545289997. The next prime is 9545290049. The reversal of 9545290000 is 925459.

The square root of 9545290000 is 97700.

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

It can be written as a sum of positive squares in 7 ways, for example, as 2526871824 + 7018418176 = 50268^2 + 83776^2 .

It is a super-2 number, since 2×9545290000² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 9769512 + ... + 9770488.

Almost surely, 2^9545290000 is an apocalyptic number.

9545290000 is the 97700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9545290000

9545290000 is an abundant number, since it is smaller than the sum of its proper divisors (13588489977).

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

9545290000 is an frugal number, since it uses more digits than its factorization.

9545290000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 34.

The cubic root of 9545290000 is about 2121.2720797935.

The spelling of 9545290000 in words is "nine billion, five hundred forty-five million, two hundred ninety thousand".