Search a number
-
+
10464155146273 is a prime number
BaseRepresentation
bin1001100001000110000001…
…0000000001100000100001
31101001100210222000201200211
42120101200100001200201
52332421042204140043
634131055544414121
72130003343112143
oct230214020014041
941040728021624
1010464155146273
113374906864364
121210034477341
135ab9c502687a
14282679962c93
151322e3c5da9d
hex98460401821

10464155146273 has 2 divisors, whose sum is σ = 10464155146274. Its totient is φ = 10464155146272.

The previous prime is 10464155146219. The next prime is 10464155146283. The reversal of 10464155146273 is 37264155146401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10438475724769 + 25679421504 = 3230863^2 + 160248^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10464155146273 is a prime.

It is not a weakly prime, because it can be changed into another prime (10464155146283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5232077573136 + 5232077573137.

It is an arithmetic number, because the mean of its divisors is an integer number (5232077573137).

Almost surely, 210464155146273 is an apocalyptic number.

It is an amenable number.

10464155146273 is a deficient number, since it is larger than the sum of its proper divisors (1).

10464155146273 is an equidigital number, since it uses as much as digits as its factorization.

10464155146273 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2419200, while the sum is 49.

The spelling of 10464155146273 in words is "ten trillion, four hundred sixty-four billion, one hundred fifty-five million, one hundred forty-six thousand, two hundred seventy-three".