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2756968129 is a prime number
BaseRepresentation
bin1010010001010011…
…1111111011000001
321010010201111021201
42210110333323001
521121240440004
61133323221201
7125214561646
oct24424777301
97103644251
102756968129
111195266a63
1264b377801
1334c2416b6
141c2221dcd
151120896a4
hexa453fec1

2756968129 has 2 divisors, whose sum is σ = 2756968130. Its totient is φ = 2756968128.

The previous prime is 2756968103. The next prime is 2756968133. The reversal of 2756968129 is 9218696572.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2628100225 + 128867904 = 51265^2 + 11352^2 .

It is a cyclic number.

It is not a de Polignac number, because 2756968129 - 211 = 2756966081 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2756968129.

It is not a weakly prime, because it can be changed into another prime (2756968169) 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, 1378484064 + 1378484065.

It is an arithmetic number, because the mean of its divisors is an integer number (1378484065).

Almost surely, 22756968129 is an apocalyptic number.

It is an amenable number.

2756968129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2756968129 is an equidigital number, since it uses as much as digits as its factorization.

2756968129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3265920, while the sum is 55.

The square root of 2756968129 is about 52506.8388783785. The cubic root of 2756968129 is about 1402.2019988719.

The spelling of 2756968129 in words is "two billion, seven hundred fifty-six million, nine hundred sixty-eight thousand, one hundred twenty-nine".