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2067838329 = 36181113933
BaseRepresentation
bin111101101000000…
…1011010101111001
312100010000001220210
41323100023111321
513213331311304
6541104541333
7102146223114
oct17320132571
95303001823
102067838329
119712715a7
12498621849
1326c539c9b
141588b757b
15c1812c89
hex7b40b579

2067838329 has 16 divisors (see below), whose sum is σ = 2805973184. Its totient is φ = 1354190400.

The previous prime is 2067838303. The next prime is 2067838349. The reversal of 2067838329 is 9238387602.

It is a happy number.

It is not a de Polignac number, because 2067838329 - 221 = 2065741177 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2067838349) 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, 141447 + ... + 155379.

It is an arithmetic number, because the mean of its divisors is an integer number (175373324).

Almost surely, 22067838329 is an apocalyptic number.

It is an amenable number.

2067838329 is a deficient number, since it is larger than the sum of its proper divisors (738134855).

2067838329 is a wasteful number, since it uses less digits than its factorization.

2067838329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14808.

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 2067838329 is about 45473.4903982529. The cubic root of 2067838329 is about 1274.0081131441.

The spelling of 2067838329 in words is "two billion, sixty-seven million, eight hundred thirty-eight thousand, three hundred twenty-nine".

Divisors: 1 3 61 183 811 2433 13933 41799 49471 148413 849913 2549739 11299663 33898989 689279443 2067838329