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9430942728256 = 2672292312612
BaseRepresentation
bin1000100100111100111111…
…1111011100000001000000
31020101120220121120122202121
42021033033333130001000
52214004032314301011
632020303144454024
71662235360344100
oct211171777340100
936346817518677
109430942728256
113006705340215
12108394377a314
13535445c9a09a
142486625b3200
151154c186ae71
hex893cffdc040

9430942728256 has 567 divisors, whose sum is σ = 23685487146711. Its totient is φ = 3714662246400.

The previous prime is 9430942728239. The next prime is 9430942728257. The reversal of 9430942728256 is 6528272490349.

The square root of 9430942728256 is 3070984.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2829743009856 + 6601199718400 = 1682184^2 + 2569280^2 .

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9430942728194 and 9430942728203.

It is not an unprimeable number, because it can be changed into a prime (9430942728257) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 154605618466 + ... + 154605618526.

Almost surely, 29430942728256 is an apocalyptic number.

9430942728256 is the 3070984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9430942728256

9430942728256 is an abundant number, since it is smaller than the sum of its proper divisors (14254544418455).

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

9430942728256 is an equidigital number, since it uses as much as digits as its factorization.

9430942728256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 61.

The spelling of 9430942728256 in words is "nine trillion, four hundred thirty billion, nine hundred forty-two million, seven hundred twenty-eight thousand, two hundred fifty-six".