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16824308741 is a prime number
BaseRepresentation
bin11111010101100111…
…01001010000000101
31121102111220102210222
433222303221100011
5233424010334431
611421243154125
71133631156542
oct175263512005
947374812728
1016824308741
11715397a199
123316515945
13178179a796
14b58627bc9
1568707057b
hex3eace9405

16824308741 has 2 divisors, whose sum is σ = 16824308742. Its totient is φ = 16824308740.

The previous prime is 16824308737. The next prime is 16824308771. The reversal of 16824308741 is 14780342861.

16824308741 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14915492641 + 1908816100 = 122129^2 + 43690^2 .

It is a cyclic number.

It is not a de Polignac number, because 16824308741 - 22 = 16824308737 is a prime.

It is a super-2 number, since 2×168243087412 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16824308692 and 16824308701.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (16824308771) 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, 8412154370 + 8412154371.

It is an arithmetic number, because the mean of its divisors is an integer number (8412154371).

Almost surely, 216824308741 is an apocalyptic number.

It is an amenable number.

16824308741 is a deficient number, since it is larger than the sum of its proper divisors (1).

16824308741 is an equidigital number, since it uses as much as digits as its factorization.

16824308741 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 258048, while the sum is 44.

The spelling of 16824308741 in words is "sixteen billion, eight hundred twenty-four million, three hundred eight thousand, seven hundred forty-one".