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9225945669248 = 2771123113360167
BaseRepresentation
bin1000011001000001010100…
…1101101101111010000000
31012122222210000110001222122
42012100111031231322000
52202124214042403443
631342201350223412
71641360351161660
oct206202515557200
935588700401878
109225945669248
112a377798a0690
121050072654b68
1351c00660bb79
1423c7769981a0
1510eec4871968
hex8641536de80

9225945669248 has 256 divisors, whose sum is σ = 24123072983040. Its totient is φ = 3407804252160.

The previous prime is 9225945669139. The next prime is 9225945669257. The reversal of 9225945669248 is 8429665495229.

It is a super-3 number, since 3×92259456692483 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25435661 + ... + 25795827.

It is an arithmetic number, because the mean of its divisors is an integer number (94230753840).

Almost surely, 29225945669248 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 9225945669248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12061536491520).

9225945669248 is an abundant number, since it is smaller than the sum of its proper divisors (14897127313792).

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

9225945669248 is a wasteful number, since it uses less digits than its factorization.

9225945669248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360335 (or 360323 counting only the distinct ones).

The product of its digits is 671846400, while the sum is 71.

The spelling of 9225945669248 in words is "nine trillion, two hundred twenty-five billion, nine hundred forty-five million, six hundred sixty-nine thousand, two hundred forty-eight".