Search a number
-
+
163643506012241 is a prime number
BaseRepresentation
bin100101001101010100111001…
…000010111011000001010001
3210110102011111022001210022222
4211031110321002323001101
5132422113400014342431
61340012442215510425
746316565426323663
oct4515247102730121
9713364438053288
10163643506012241
1148161903a6a472
121642b25b088415
1370406936c7128
142c5a560778533
1513dbb2311457b
hex94d5390bb051

163643506012241 has 2 divisors, whose sum is σ = 163643506012242. Its totient is φ = 163643506012240.

The previous prime is 163643506012211. The next prime is 163643506012297. The reversal of 163643506012241 is 142210605346361.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 143110282562641 + 20533223449600 = 11962871^2 + 4531360^2 .

It is a cyclic number.

It is not a de Polignac number, because 163643506012241 - 26 = 163643506012177 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 163643506012192 and 163643506012201.

It is not a weakly prime, because it can be changed into another prime (163643506012211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 81821753006120 + 81821753006121.

It is an arithmetic number, because the mean of its divisors is an integer number (81821753006121).

Almost surely, 2163643506012241 is an apocalyptic number.

It is an amenable number.

163643506012241 is a deficient number, since it is larger than the sum of its proper divisors (1).

163643506012241 is an equidigital number, since it uses as much as digits as its factorization.

163643506012241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 622080, while the sum is 44.

The spelling of 163643506012241 in words is "one hundred sixty-three trillion, six hundred forty-three billion, five hundred six million, twelve thousand, two hundred forty-one".