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9265922640 = 2433513794177
BaseRepresentation
bin10001010000100101…
…01100001001010000
3212220202110122022000
420220102230021100
5122434034011030
64131240514000
7445422020502
oct105022541120
925822418260
109265922640
113a2540a907
12196717b900
13b488a9280
1463c877d72
15393708860
hex2284ac250

9265922640 has 320 divisors, whose sum is σ = 34814438400. Its totient is φ = 2251431936.

The previous prime is 9265922597. The next prime is 9265922647. The reversal of 9265922640 is 462295629.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9265922647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2216232 + ... + 2220408.

It is an arithmetic number, because the mean of its divisors is an integer number (108795120).

Almost surely, 29265922640 is an apocalyptic number.

9265922640 is a gapful number since it is divisible by the number (90) 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 9265922640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17407219200).

9265922640 is an abundant number, since it is smaller than the sum of its proper divisors (25548515760).

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

9265922640 is a wasteful number, since it uses less digits than its factorization.

9265922640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4291 (or 4279 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 9265922640 is about 96259.6625799197. The cubic root of 9265922640 is about 2100.3720157260.

The spelling of 9265922640 in words is "nine billion, two hundred sixty-five million, nine hundred twenty-two thousand, six hundred forty".