Search a number
-
+
465166563527441 is a prime number
BaseRepresentation
bin110100111000100010000011…
…1110001111100101100010001
32021000000111012121102122112002
41221301010013301330230101
5441432242110230334231
64325154322540243345
7166660114040310026
oct15161040761745421
92230014177378462
10465166563527441
11125242039275766
1244208490b40555
1316c73032191659
1482c2278c1b54d
1538ba0b31de0cb
hex1a71107c7cb11

465166563527441 has 2 divisors, whose sum is σ = 465166563527442. Its totient is φ = 465166563527440.

The previous prime is 465166563527329. The next prime is 465166563527447. The reversal of 465166563527441 is 144725365661564.

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., 445842591550225 + 19323971977216 = 21114985^2 + 4395904^2 .

It is a cyclic number.

It is not a de Polignac number, because 465166563527441 - 210 = 465166563526417 is a prime.

It is not a weakly prime, because it can be changed into another prime (465166563527447) 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, 232583281763720 + 232583281763721.

It is an arithmetic number, because the mean of its divisors is an integer number (232583281763721).

Almost surely, 2465166563527441 is an apocalyptic number.

It is an amenable number.

465166563527441 is a deficient number, since it is larger than the sum of its proper divisors (1).

465166563527441 is an equidigital number, since it uses as much as digits as its factorization.

465166563527441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 435456000, while the sum is 65.

The spelling of 465166563527441 in words is "four hundred sixty-five trillion, one hundred sixty-six billion, five hundred sixty-three million, five hundred twenty-seven thousand, four hundred forty-one".