Search a number
-
+
45461681817553 is a prime number
BaseRepresentation
bin10100101011000110111110…
…11001010100011111010001
312221222002112202211111102201
422111203133121110133101
521424321011021130203
6240404450332243201
712401332566360601
oct1225433731243721
9187862482744381
1045461681817553
1113538211225451
125122941310501
131c4a030ca8751
14b324dddc8c01
1553c86904ae1d
hex2958df6547d1

45461681817553 has 2 divisors, whose sum is σ = 45461681817554. Its totient is φ = 45461681817552.

The previous prime is 45461681817527. The next prime is 45461681817557. The reversal of 45461681817553 is 35571818616454.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40420183989969 + 5041497827584 = 6357687^2 + 2245328^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-45461681817553 is a prime.

It is not a weakly prime, because it can be changed into another prime (45461681817557) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22730840908776 + 22730840908777.

It is an arithmetic number, because the mean of its divisors is an integer number (22730840908777).

Almost surely, 245461681817553 is an apocalyptic number.

It is an amenable number.

45461681817553 is a deficient number, since it is larger than the sum of its proper divisors (1).

45461681817553 is an equidigital number, since it uses as much as digits as its factorization.

45461681817553 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 96768000, while the sum is 64.

The spelling of 45461681817553 in words is "forty-five trillion, four hundred sixty-one billion, six hundred eighty-one million, eight hundred seventeen thousand, five hundred fifty-three".