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2091918128849 is a prime number
BaseRepresentation
bin11110011100010000000…
…010010111011011010001
321101222121101000121012122
4132130100002113123101
5233233222020110344
64241003001304025
7304064452465013
oct36342002273321
97358541017178
102091918128849
117371a527a52a
12299517195015
13122361896a23
147336c4141b3
1539637948aee
hex1e7100976d1

2091918128849 has 2 divisors, whose sum is σ = 2091918128850. Its totient is φ = 2091918128848.

The previous prime is 2091918128821. The next prime is 2091918128887. The reversal of 2091918128849 is 9488218191902.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1993913443600 + 98004685249 = 1412060^2 + 313057^2 .

It is a cyclic number.

It is not a de Polignac number, because 2091918128849 - 220 = 2091917080273 is a prime.

It is a super-2 number, since 2×20919181288492 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2091918128791 and 2091918128800.

It is not a weakly prime, because it can be changed into another prime (2091918125849) 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, 1045959064424 + 1045959064425.

It is an arithmetic number, because the mean of its divisors is an integer number (1045959064425).

Almost surely, 22091918128849 is an apocalyptic number.

It is an amenable number.

2091918128849 is a deficient number, since it is larger than the sum of its proper divisors (1).

2091918128849 is an equidigital number, since it uses as much as digits as its factorization.

2091918128849 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5971968, while the sum is 62.

The spelling of 2091918128849 in words is "two trillion, ninety-one billion, nine hundred eighteen million, one hundred twenty-eight thousand, eight hundred forty-nine".