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2738493858193 is a prime number
BaseRepresentation
bin100111110110011010111…
…101000010000110010001
3100200210112100022212001121
4213312122331002012101
5324331413411430233
65454014031202241
7401564300504302
oct47663275020621
910623470285047
102738493858193
11966430432925
123828a4076381
1316b314a20ba2
14967883007a9
154b37b70c92d
hex27d9af42191

2738493858193 has 2 divisors, whose sum is σ = 2738493858194. Its totient is φ = 2738493858192.

The previous prime is 2738493858137. The next prime is 2738493858223. The reversal of 2738493858193 is 3918583948372.

2738493858193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2650491449089 + 88002409104 = 1628033^2 + 296652^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2738493858193 is a prime.

It is a super-2 number, since 2×27384938581932 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2738493858103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1369246929096 + 1369246929097.

It is an arithmetic number, because the mean of its divisors is an integer number (1369246929097).

Almost surely, 22738493858193 is an apocalyptic number.

It is an amenable number.

2738493858193 is a deficient number, since it is larger than the sum of its proper divisors (1).

2738493858193 is an equidigital number, since it uses as much as digits as its factorization.

2738493858193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 313528320, while the sum is 70.

The spelling of 2738493858193 in words is "two trillion, seven hundred thirty-eight billion, four hundred ninety-three million, eight hundred fifty-eight thousand, one hundred ninety-three".