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2782035041 is a prime number
BaseRepresentation
bin1010010111010010…
…0111110001100001
321011212220000121212
42211310213301201
521144200110131
61140020355505
7125640623222
oct24564476141
97155800555
102782035041
1111a8428115
12657845b95
133544aa1a6
141c56a9249
1511438ba2b
hexa5d27c61

2782035041 has 2 divisors, whose sum is σ = 2782035042. Its totient is φ = 2782035040.

The previous prime is 2782034999. The next prime is 2782035073. The reversal of 2782035041 is 1405302872.

2782035041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (2782035073) can be obtained adding 2782035041 to its sum of digits (32).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2782035025 + 16 = 52745^2 + 4^2 .

It is a cyclic number.

It is not a de Polignac number, because 2782035041 - 218 = 2781772897 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2782034989 and 2782035007.

It is not a weakly prime, because it can be changed into another prime (2782035241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1391017520 + 1391017521.

It is an arithmetic number, because the mean of its divisors is an integer number (1391017521).

Almost surely, 22782035041 is an apocalyptic number.

It is an amenable number.

2782035041 is a deficient number, since it is larger than the sum of its proper divisors (1).

2782035041 is an equidigital number, since it uses as much as digits as its factorization.

2782035041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 2782035041 is about 52745.0001516731. Note that the first 3 decimals coincide. The cubic root of 2782035041 is about 1406.4388852428.

The spelling of 2782035041 in words is "two billion, seven hundred eighty-two million, thirty-five thousand, forty-one".