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2000016009 = 33137540691
BaseRepresentation
bin111011100110101…
…1101001010001001
312011101101100012000
41313031131022021
513044001003014
6530243141213
7100363566315
oct16715351211
95141340160
102000016009
11936a586a2
12479974809
1325b481734
1414d8a0b45
15ba8b7509
hex7735d289

2000016009 has 16 divisors (see below), whose sum is σ = 2984619840. Its totient is φ = 1323609120.

The previous prime is 2000015977. The next prime is 2000016013. The reversal of 2000016009 is 9006100002.

It is not a de Polignac number, because 2000016009 - 25 = 2000015977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2000015982 and 2000016000.

It is not an unprimeable number, because it can be changed into a prime (2000016409) by changing a digit.

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, 266647 + ... + 274044.

It is an arithmetic number, because the mean of its divisors is an integer number (186538740).

Almost surely, 22000016009 is an apocalyptic number.

It is an amenable number.

2000016009 is a deficient number, since it is larger than the sum of its proper divisors (984603831).

2000016009 is a wasteful number, since it uses less digits than its factorization.

2000016009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540837 (or 540831 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 2000016009 is about 44721.5385356989. The cubic root of 2000016009 is about 1259.9244115653.

The spelling of 2000016009 in words is "two billion, sixteen thousand, nine".

Divisors: 1 3 9 27 137 411 1233 3699 540691 1622073 4866219 14598657 74074667 222224001 666672003 2000016009