Search a number
-
+
461601627302633 is a prime number
BaseRepresentation
bin110100011110100110000000…
…1000001011110101011101001
32020112101200111001222122122012
41220331030001001132223221
5441000340113042141013
64313424505441005305
7166141421432340506
oct15075140101365351
92215350431878565
10461601627302633
111240981727567a4
12439315a3023835
1316a74b011c732c
1481db8d082c4ad
1538574b70a91a8
hex1a3d30105eae9

461601627302633 has 2 divisors, whose sum is σ = 461601627302634. Its totient is φ = 461601627302632.

The previous prime is 461601627302603. The next prime is 461601627302677. The reversal of 461601627302633 is 336203726106164.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 426418080911449 + 35183546391184 = 20649893^2 + 5931572^2 .

It is a cyclic number.

It is not a de Polignac number, because 461601627302633 - 238 = 461326749395689 is a prime.

It is not a weakly prime, because it can be changed into another prime (461601627302603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 230800813651316 + 230800813651317.

It is an arithmetic number, because the mean of its divisors is an integer number (230800813651317).

Almost surely, 2461601627302633 is an apocalyptic number.

It is an amenable number.

461601627302633 is a deficient number, since it is larger than the sum of its proper divisors (1).

461601627302633 is an equidigital number, since it uses as much as digits as its factorization.

461601627302633 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3919104, while the sum is 50.

The spelling of 461601627302633 in words is "four hundred sixty-one trillion, six hundred one billion, six hundred twenty-seven million, three hundred two thousand, six hundred thirty-three".