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2018181829 is a prime number
BaseRepresentation
bin111100001001011…
…0000001011000101
312012122120021000011
41320102300023011
513113123304304
6532132350221
7101004156016
oct17022601305
95178507004
102018181829
11946235974
12483a75371
13262172041
1415206d00d
15bc2a4c04
hex784b02c5

2018181829 has 2 divisors, whose sum is σ = 2018181830. Its totient is φ = 2018181828.

The previous prime is 2018181791. The next prime is 2018181853. The reversal of 2018181829 is 9281818102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1035359329 + 982822500 = 32177^2 + 31350^2 .

It is a cyclic number.

It is not a de Polignac number, because 2018181829 - 217 = 2018050757 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2018181791 and 2018181800.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2018181229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1009090914 + 1009090915.

It is an arithmetic number, because the mean of its divisors is an integer number (1009090915).

Almost surely, 22018181829 is an apocalyptic number.

It is an amenable number.

2018181829 is a deficient number, since it is larger than the sum of its proper divisors (1).

2018181829 is an equidigital number, since it uses as much as digits as its factorization.

2018181829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18432, while the sum is 40.

The square root of 2018181829 is about 44924.1786680625. The cubic root of 2018181829 is about 1263.7274832855.

The spelling of 2018181829 in words is "two billion, eighteen million, one hundred eighty-one thousand, eight hundred twenty-nine".