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2009142009 = 33719953419
BaseRepresentation
bin111011111000001…
…0001001011111001
312012000112222201000
41313300101023321
513103320021014
6531210515213
7100534265610
oct16760211371
95160488630
102009142009
11941121146
12480a35b09
13260328534
14150b98877
15bb5bb509
hex77c112f9

2009142009 has 32 divisors (see below), whose sum is σ = 3418880000. Its totient is φ = 1142290512.

The previous prime is 2009142007. The next prime is 2009142013. The reversal of 2009142009 is 9002419002.

It is not a de Polignac number, because 2009142009 - 21 = 2009142007 is a prime.

It is a super-2 number, since 2×20091420092 = 8073303224657112162, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2009142007) 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 31 ways as a sum of consecutive naturals, for example, 10902 + ... + 64320.

It is an arithmetic number, because the mean of its divisors is an integer number (106840000).

Almost surely, 22009142009 is an apocalyptic number.

It is an amenable number.

2009142009 is a deficient number, since it is larger than the sum of its proper divisors (1409737991).

2009142009 is a wasteful number, since it uses less digits than its factorization.

2009142009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53634 (or 53628 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 2009142009 is about 44823.4537825902. The cubic root of 2009142009 is about 1261.8378339082.

The spelling of 2009142009 in words is "two billion, nine million, one hundred forty-two thousand, nine".

Divisors: 1 3 7 9 21 27 63 189 199 597 1393 1791 4179 5373 12537 37611 53419 160257 373933 480771 1121799 1442313 3365397 10096191 10630381 31891143 74412667 95673429 223238001 287020287 669714003 2009142009