Search a number
-
+
2966729461 is a prime number
BaseRepresentation
bin1011000011010100…
…1011001011110101
321122202102110201221
42300311023023311
522033440320321
61210215150341
7133342533013
oct26065131365
97582373657
102966729461
111292706833
126a96753b1
13383835a27
142020258b3
151256c0e41
hexb0d4b2f5

2966729461 has 2 divisors, whose sum is σ = 2966729462. Its totient is φ = 2966729460.

The previous prime is 2966729443. The next prime is 2966729531. The reversal of 2966729461 is 1649276692.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2016548836 + 950180625 = 44906^2 + 30825^2 .

It is a cyclic number.

It is not a de Polignac number, because 2966729461 - 217 = 2966598389 is a prime.

It is a super-3 number, since 3×29667294613 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2966729399 and 2966729408.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2966729561) 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, 1483364730 + 1483364731.

It is an arithmetic number, because the mean of its divisors is an integer number (1483364731).

Almost surely, 22966729461 is an apocalyptic number.

It is an amenable number.

2966729461 is a deficient number, since it is larger than the sum of its proper divisors (1).

2966729461 is an equidigital number, since it uses as much as digits as its factorization.

2966729461 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1959552, while the sum is 52.

The square root of 2966729461 is about 54467.6919007956. The cubic root of 2966729461 is about 1436.8981362059.

The spelling of 2966729461 in words is "two billion, nine hundred sixty-six million, seven hundred twenty-nine thousand, four hundred sixty-one".