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9996000449 = 41734217933
BaseRepresentation
bin10010100111100111…
…01101110011000001
3221210122020102202212
421103303231303001
5130432434003244
64331520551505
7502465413311
oct112363556301
927718212685
109996000449
11426a5330a6
121b2b782595
13c33c19b86
146ab801441
153d786cd9e
hex253cedcc1

9996000449 has 16 divisors (see below), whose sum is σ = 10406043984. Its totient is φ = 9594547200.

The previous prime is 9996000439. The next prime is 9996000451. The reversal of 9996000449 is 9440006999.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4321090225 + 5674910224 = 65735^2 + 75332^2 .

It is a cyclic number.

It is not a de Polignac number, because 9996000449 - 220 = 9994951873 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9996000397 and 9996000406.

It is not an unprimeable number, because it can be changed into a prime (9996000409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1256087 + ... + 1264019.

It is an arithmetic number, because the mean of its divisors is an integer number (650377749).

Almost surely, 29996000449 is an apocalyptic number.

It is an amenable number.

9996000449 is a deficient number, since it is larger than the sum of its proper divisors (410043535).

9996000449 is a wasteful number, since it uses less digits than its factorization.

9996000449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8468.

The product of its (nonzero) digits is 629856, while the sum is 50.

The square root of 9996000449 is about 99980.0002450490. Note that the first 3 decimals coincide. The cubic root of 9996000449 is about 2154.1474260169.

It can be divided in two parts, 99960004 and 49, that multiplied together give a square (4898040196 = 699862).

The spelling of 9996000449 in words is "nine billion, nine hundred ninety-six million, four hundred forty-nine", and thus it is an aban number.

Divisors: 1 41 73 421 2993 7933 17261 30733 325253 579109 1260053 3339793 23743469 136931513 243804889 9996000449