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2033672129 is a prime number
BaseRepresentation
bin111100100110111…
…0101111111000001
312020201201020200222
41321031311333001
513131110002004
6533444352425
7101252633156
oct17115657701
95221636628
102033672129
11953a55a75
124890a5715
132654368b8
1415414222d
15bd8147be
hex79375fc1

2033672129 has 2 divisors, whose sum is σ = 2033672130. Its totient is φ = 2033672128.

The previous prime is 2033672101. The next prime is 2033672131. The reversal of 2033672129 is 9212763302.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1200483904 + 833188225 = 34648^2 + 28865^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2033672129 is a prime.

Together with 2033672131, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2033672149) by changing a digit.

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 as a sum of consecutive naturals, namely, 1016836064 + 1016836065.

It is an arithmetic number, because the mean of its divisors is an integer number (1016836065).

Almost surely, 22033672129 is an apocalyptic number.

It is an amenable number.

2033672129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2033672129 is an equidigital number, since it uses as much as digits as its factorization.

2033672129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216, while the sum is 35.

The square root of 2033672129 is about 45096.2540462065. The cubic root of 2033672129 is about 1266.9524400077.

The spelling of 2033672129 in words is "two billion, thirty-three million, six hundred seventy-two thousand, one hundred twenty-nine".