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9128650752 = 21135131783
BaseRepresentation
bin10001000000001110…
…00010100000000000
3212120012011111200000
420200013002200000
5122143413311002
64105454400000
7442134152064
oct104007024000
925505144600
109128650752
113964981471
121929200000
13b263158c0
14628543aa4
1538664061c
hex2201c2800

9128650752 has 576 divisors, whose sum is σ = 31552597440. Its totient is φ = 2611740672.

The previous prime is 9128650747. The next prime is 9128650759. The reversal of 9128650752 is 2570568219.

9128650752 is a `hidden beast` number, since 9 + 12 + 86 + 507 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 9128650698 and 9128650707.

It is not an unprimeable number, because it can be changed into a prime (9128650759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109983703 + ... + 109983785.

It is an arithmetic number, because the mean of its divisors is an integer number (54778815).

Almost surely, 29128650752 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 9128650752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15776298720).

9128650752 is an abundant number, since it is smaller than the sum of its proper divisors (22423946688).

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

9128650752 is a wasteful number, since it uses less digits than its factorization.

9128650752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 9128650752 is about 95543.9728711341. The cubic root of 9128650752 is about 2089.9482410509.

The spelling of 9128650752 in words is "nine billion, one hundred twenty-eight million, six hundred fifty thousand, seven hundred fifty-two".