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9145448928 = 25327111721427
BaseRepresentation
bin10001000010001110…
…00111100111100000
3212121100202221102200
420201013013213200
5122212213331203
64111254413200
7442430014260
oct104107074740
925540687380
109145448928
113973405160
121932961200
13b29947855
1462a8777a0
15387d5c9a3
hex2211c79e0

9145448928 has 432 divisors, whose sum is σ = 34468447104. Its totient is φ = 2234142720.

The previous prime is 9145448891. The next prime is 9145448953. The reversal of 9145448928 is 8298445419.

It is a happy number.

9145448928 is a `hidden beast` number, since 9 + 1 + 4 + 544 + 8 + 92 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6408151 + ... + 6409577.

It is an arithmetic number, because the mean of its divisors is an integer number (79788072).

Almost surely, 29145448928 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 9145448928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17234223552).

9145448928 is an abundant number, since it is smaller than the sum of its proper divisors (25322998176).

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

9145448928 is a wasteful number, since it uses less digits than its factorization.

9145448928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495 (or 1467 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 9145448928 is about 95631.8405553297. The cubic root of 9145448928 is about 2091.2294017600.

The spelling of 9145448928 in words is "nine billion, one hundred forty-five million, four hundred forty-eight thousand, nine hundred twenty-eight".