Search a number
-
+
16461757541 is a prime number
BaseRepresentation
bin11110101010011001…
…00111110001100101
31120111020200221001202
433111030213301211
5232203202220131
611321252332245
71121636426135
oct172514476145
946436627052
1016461757541
116a882620a9
123235014085
13172463b748
14b22410ac5
15665307bcb
hex3d5327c65

16461757541 has 2 divisors, whose sum is σ = 16461757542. Its totient is φ = 16461757540.

The previous prime is 16461757457. The next prime is 16461757561. The reversal of 16461757541 is 14575716461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14316122500 + 2145635041 = 119650^2 + 46321^2 .

It is an emirp because it is prime and its reverse (14575716461) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 16461757541 - 214 = 16461741157 is a prime.

It is a super-2 number, since 2×164617575412 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (16461757561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8230878770 + 8230878771.

It is an arithmetic number, because the mean of its divisors is an integer number (8230878771).

Almost surely, 216461757541 is an apocalyptic number.

It is an amenable number.

16461757541 is a deficient number, since it is larger than the sum of its proper divisors (1).

16461757541 is an equidigital number, since it uses as much as digits as its factorization.

16461757541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 705600, while the sum is 47.

The spelling of 16461757541 in words is "sixteen billion, four hundred sixty-one million, seven hundred fifty-seven thousand, five hundred forty-one".