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9960093345 = 351574229339
BaseRepresentation
bin10010100011010101…
…01111011010100001
3221201010200011111010
421101222233122201
5130344240441340
64324155211133
7501551253006
oct112152573241
927633604433
109960093345
114251238604
121b1b746aa9
13c29657277
146a6b358ad
153d4628b80
hex251aaf6a1

9960093345 has 16 divisors (see below), whose sum is σ = 16037657280. Its totient is φ = 5278213824.

The previous prime is 9960093289. The next prime is 9960093389. The reversal of 9960093345 is 5433900699.

It is a happy number.

9960093345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9960093345 - 26 = 9960093281 is a prime.

It is a super-2 number, since 2×99600933452 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 9960093294 and 9960093303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2112315 + ... + 2117024.

It is an arithmetic number, because the mean of its divisors is an integer number (1002353580).

Almost surely, 29960093345 is an apocalyptic number.

It is an amenable number.

9960093345 is a deficient number, since it is larger than the sum of its proper divisors (6077563935).

9960093345 is a wasteful number, since it uses less digits than its factorization.

9960093345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4229504.

The product of its (nonzero) digits is 787320, while the sum is 48.

The square root of 9960093345 is about 99800.2672591612. The cubic root of 9960093345 is about 2151.5649932434.

The spelling of 9960093345 in words is "nine billion, nine hundred sixty million, ninety-three thousand, three hundred forty-five".

Divisors: 1 3 5 15 157 471 785 2355 4229339 12688017 21146695 63440085 664006223 1992018669 3320031115 9960093345