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2009000136 = 23311132331821
BaseRepresentation
bin111011110111110…
…1110100011001000
312012000021210002110
41313233232203020
513103301001021
6531203502320
7100533135153
oct16757564310
95160253073
102009000136
119410345a0
124809879a0
132602a8aa0
14150b5cc9a
15bb58e476
hex77bee8c8

2009000136 has 256 divisors, whose sum is σ = 6363463680. Its totient is φ = 519552000.

The previous prime is 2009000117. The next prime is 2009000141. The reversal of 2009000136 is 6310009002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2446606 + ... + 2447426.

It is an arithmetic number, because the mean of its divisors is an integer number (24857280).

Almost surely, 22009000136 is an apocalyptic number.

2009000136 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2009000136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3181731840).

2009000136 is an abundant number, since it is smaller than the sum of its proper divisors (4354463544).

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

2009000136 is a wasteful number, since it uses less digits than its factorization.

2009000136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 2009000136 is about 44821.8711791465. The cubic root of 2009000136 is about 1261.8081321861.

Adding to 2009000136 its reverse (6310009002), we get a palindrome (8319009138).

The spelling of 2009000136 in words is "two billion, nine million, one hundred thirty-six", and thus it is an aban number.