Search a number
-
+
45135752623249 is a prime number
BaseRepresentation
bin10100100001100111111001…
…00000000111010010010001
312220210221021012112220220211
422100303330200013102101
521404001010132420444
6235555024542404121
712335644012053451
oct1220637440072221
9186727235486824
1045135752623249
1113421a6873a752
12508b740290641
131c2538b297922
14b20821343d61
15534140322c34
hex290cfc807491

45135752623249 has 2 divisors, whose sum is σ = 45135752623250. Its totient is φ = 45135752623248.

The previous prime is 45135752623237. The next prime is 45135752623309. The reversal of 45135752623249 is 94232625753154.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 44211860640000 + 923891983249 = 6649200^2 + 961193^2 .

It is a cyclic number.

It is not a de Polignac number, because 45135752623249 - 25 = 45135752623217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 45135752623193 and 45135752623202.

It is not a weakly prime, because it can be changed into another prime (45135752623229) 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, 22567876311624 + 22567876311625.

It is an arithmetic number, because the mean of its divisors is an integer number (22567876311625).

Almost surely, 245135752623249 is an apocalyptic number.

It is an amenable number.

45135752623249 is a deficient number, since it is larger than the sum of its proper divisors (1).

45135752623249 is an equidigital number, since it uses as much as digits as its factorization.

45135752623249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 54432000, while the sum is 58.

The spelling of 45135752623249 in words is "forty-five trillion, one hundred thirty-five billion, seven hundred fifty-two million, six hundred twenty-three thousand, two hundred forty-nine".