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18334185829 is a prime number
BaseRepresentation
bin10001000100110011…
…010111100101100101
31202022202000010210121
4101010303113211211
5300022022421304
612231141121541
71216224002551
oct210463274545
952282003717
1018334185829
1178591961a3
1236780b92b1
13196253a68b
14c5cd7c861
157248bb554
hex444cd7965

18334185829 has 2 divisors, whose sum is σ = 18334185830. Its totient is φ = 18334185828.

The previous prime is 18334185811. The next prime is 18334185839. The reversal of 18334185829 is 92858143381.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17875155204 + 459030625 = 133698^2 + 21425^2 .

It is a cyclic number.

It is not a de Polignac number, because 18334185829 - 213 = 18334177637 is a prime.

It is a super-3 number, since 3×183341858293 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (18334185839) 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 as a sum of consecutive naturals, namely, 9167092914 + 9167092915.

It is an arithmetic number, because the mean of its divisors is an integer number (9167092915).

Almost surely, 218334185829 is an apocalyptic number.

It is an amenable number.

18334185829 is a deficient number, since it is larger than the sum of its proper divisors (1).

18334185829 is an equidigital number, since it uses as much as digits as its factorization.

18334185829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1658880, while the sum is 52.

The spelling of 18334185829 in words is "eighteen billion, three hundred thirty-four million, one hundred eighty-five thousand, eight hundred twenty-nine".