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9252880000 = 27547133141
BaseRepresentation
bin10001001111000001…
…11011111010000000
3212212211221000011021
420213200323322000
5122422214130000
64130053155224
7445203116350
oct104740737200
925784830137
109252880000
113a19011771
12196292bb14
13b45c90830
1463ac40b60
153924ce11a
hex22783be80

9252880000 has 640 divisors, whose sum is σ = 29978403840. Its totient is φ = 2764800000.

The previous prime is 9252879997. The next prime is 9252880009. The reversal of 9252880000 is 882529.

It is a tau number, because it is divible by the number of its divisors (640).

It is not an unprimeable number, because it can be changed into a prime (9252880009) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 225679980 + ... + 225680020.

It is an arithmetic number, because the mean of its divisors is an integer number (46841256).

Almost surely, 29252880000 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 9252880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14989201920).

9252880000 is an abundant number, since it is smaller than the sum of its proper divisors (20725523840).

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

9252880000 is a wasteful number, since it uses less digits than its factorization.

9252880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 9252880000 is about 96191.8915501717. The cubic root of 9252880000 is about 2099.3860639192.

The spelling of 9252880000 in words is "nine billion, two hundred fifty-two million, eight hundred eighty thousand".