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2782006141 is a prime number
BaseRepresentation
bin1010010111010010…
…0000101101111101
321011212211112222111
42211310200231331
521144143144031
61140020014021
7125640443035
oct24564405575
97155745874
102782006141
1111a8408432
12657831311
13354499ca5
141c569c8c5
151143831b1
hexa5d20b7d

2782006141 has 2 divisors, whose sum is σ = 2782006142. Its totient is φ = 2782006140.

The previous prime is 2782006121. The next prime is 2782006151. The reversal of 2782006141 is 1416002872.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1768538916 + 1013467225 = 42054^2 + 31835^2 .

It is a cyclic number.

It is not a de Polignac number, because 2782006141 - 25 = 2782006109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2782006121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1391003070 + 1391003071.

It is an arithmetic number, because the mean of its divisors is an integer number (1391003071).

Almost surely, 22782006141 is an apocalyptic number.

It is an amenable number.

2782006141 is a deficient number, since it is larger than the sum of its proper divisors (1).

2782006141 is an equidigital number, since it uses as much as digits as its factorization.

2782006141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 2782006141 is about 52744.7261913454. The cubic root of 2782006141 is about 1406.4340151598.

The spelling of 2782006141 in words is "two billion, seven hundred eighty-two million, six thousand, one hundred forty-one".