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9928895280 = 243543195987
BaseRepresentation
bin10010011111100111…
…01110101100110000
3221121221222010210020
421033303232230300
5130313244122110
64321122403440
7501022134363
oct111763565460
927557863706
109928895280
114235669a87
121b11200580
13c23052b85
146a29340da
153d1a14d70
hex24fceeb30

9928895280 has 80 divisors (see below), whose sum is σ = 30851311104. Its totient is φ = 2641534720.

The previous prime is 9928895267. The next prime is 9928895287. The reversal of 9928895280 is 825988299.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×99288952802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (9928895287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55447 + ... + 151433.

Almost surely, 29928895280 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 9928895280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15425655552).

9928895280 is an abundant number, since it is smaller than the sum of its proper divisors (20922415824).

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

9928895280 is a wasteful number, since it uses less digits than its factorization.

9928895280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96434 (or 96428 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 60.

The square root of 9928895280 is about 99643.8421579578. The cubic root of 9928895280 is about 2149.3161899639.

The spelling of 9928895280 in words is "nine billion, nine hundred twenty-eight million, eight hundred ninety-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 431 862 1293 1724 2155 2586 3448 4310 5172 6465 6896 8620 10344 12930 17240 20688 25860 34480 51720 95987 103440 191974 287961 383948 479935 575922 767896 959870 1151844 1439805 1535792 1919740 2303688 2879610 3839480 4607376 5759220 7678960 11518440 23036880 41370397 82740794 124111191 165481588 206851985 248222382 330963176 413703970 496444764 620555955 661926352 827407940 992889528 1241111910 1654815880 1985779056 2482223820 3309631760 4964447640 9928895280