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13782083041 is a prime number
BaseRepresentation
bin11001101010111100…
…11110010111100001
31022120111102100201001
430311132132113201
5211211203124131
610155325512001
7665350526056
oct146536362741
938514370631
1013782083041
115932698a81
122807712601
1313b842062c
1494a58d02d
15559e3a261
hex33579e5e1

13782083041 has 2 divisors, whose sum is σ = 13782083042. Its totient is φ = 13782083040.

The previous prime is 13782083027. The next prime is 13782083057. The reversal of 13782083041 is 14038028731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11533900816 + 2248182225 = 107396^2 + 47415^2 .

It is a cyclic number.

It is not a de Polignac number, because 13782083041 - 25 = 13782083009 is a prime.

It is not a weakly prime, because it can be changed into another prime (13782087041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6891041520 + 6891041521.

It is an arithmetic number, because the mean of its divisors is an integer number (6891041521).

Almost surely, 213782083041 is an apocalyptic number.

It is an amenable number.

13782083041 is a deficient number, since it is larger than the sum of its proper divisors (1).

13782083041 is an equidigital number, since it uses as much as digits as its factorization.

13782083041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32256, while the sum is 37.

The spelling of 13782083041 in words is "thirteen billion, seven hundred eighty-two million, eighty-three thousand, forty-one".