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2791260876749 is a prime number
BaseRepresentation
bin101000100111100100000…
…111001110111111001101
3100212211201202210010120012
4220213210013032333031
5331213000241023444
65534142035403005
7405443021661452
oct50474407167715
910784652703505
102791260876749
11986848aa6974
12390b6b753465
131732a3b10aa7
149915230b829
154c918e74b9e
hex289e41cefcd

2791260876749 has 2 divisors, whose sum is σ = 2791260876750. Its totient is φ = 2791260876748.

The previous prime is 2791260876737. The next prime is 2791260876751. The reversal of 2791260876749 is 9476780621972.

2791260876749 is digitally balanced in base 3, 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., 2614549939849 + 176710936900 = 1616957^2 + 420370^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2791260876749 is a prime.

It is a super-2 number, since 2×27912608767492 (a number of 26 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 2791260876751, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2791260876779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1395630438374 + 1395630438375.

It is an arithmetic number, because the mean of its divisors is an integer number (1395630438375).

Almost surely, 22791260876749 is an apocalyptic number.

It is an amenable number.

2791260876749 is a deficient number, since it is larger than the sum of its proper divisors (1).

2791260876749 is an equidigital number, since it uses as much as digits as its factorization.

2791260876749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128024064, while the sum is 68.

The spelling of 2791260876749 in words is "two trillion, seven hundred ninety-one billion, two hundred sixty million, eight hundred seventy-six thousand, seven hundred forty-nine".