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2048311155349 is a prime number
BaseRepresentation
bin11101110011101000110…
…110111101101010010101
321020211001022210211021001
4131303220312331222111
5232024420123432344
64204551532423301
7300662026356334
oct35635066755225
97224038724231
102048311155349
1171a75827a958
12290b87317b31
1311b202462224
14711d2b9dd1b
1538434473ed4
hex1dce8dbda95

2048311155349 has 2 divisors, whose sum is σ = 2048311155350. Its totient is φ = 2048311155348.

The previous prime is 2048311155271. The next prime is 2048311155383. The reversal of 2048311155349 is 9435511138402.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1598884380900 + 449426774449 = 1264470^2 + 670393^2 .

It is a cyclic number.

It is not a de Polignac number, because 2048311155349 - 27 = 2048311155221 is a prime.

It is a super-2 number, since 2×20483111553492 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2048311155299 and 2048311155308.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2048311156349) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1024155577674 + 1024155577675.

It is an arithmetic number, because the mean of its divisors is an integer number (1024155577675).

Almost surely, 22048311155349 is an apocalyptic number.

It is an amenable number.

2048311155349 is a deficient number, since it is larger than the sum of its proper divisors (1).

2048311155349 is an equidigital number, since it uses as much as digits as its factorization.

2048311155349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 518400, while the sum is 46.

The spelling of 2048311155349 in words is "two trillion, forty-eight billion, three hundred eleven million, one hundred fifty-five thousand, three hundred forty-nine".