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465106286421 = 32722689339217
BaseRepresentation
bin1101100010010100111…
…11101011011101010101
31122110112001112101212100
412301022133223131111
530110014202131141
6553400013512313
745413524130100
oct6611237533525
91573461471770
10465106286421
1116a283411a87
12761831a2699
1334b22c5c08a
1418722ca3737
15c17259a0b6
hex6c4a7eb755

465106286421 has 36 divisors (see below), whose sum is σ = 781554108972. Its totient is φ = 265758361344.

The previous prime is 465106286387. The next prime is 465106286431. The reversal of 465106286421 is 124682601564.

It is a happy number.

465106286421 is a `hidden beast` number, since 4 + 6 + 5 + 10 + 628 + 6 + 4 + 2 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 269790903396 + 195315383025 = 519414^2 + 441945^2 .

It is not a de Polignac number, because 465106286421 - 214 = 465106270037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465106286431) 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 in 35 ways as a sum of consecutive naturals, for example, 11840205 + ... + 11879421.

Almost surely, 2465106286421 is an apocalyptic number.

It is an amenable number.

465106286421 is a deficient number, since it is larger than the sum of its proper divisors (316447822551).

465106286421 is a wasteful number, since it uses less digits than its factorization.

465106286421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66130 (or 66120 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

Adding to 465106286421 its reverse (124682601564), we get a palindrome (589788887985).

The spelling of 465106286421 in words is "four hundred sixty-five billion, one hundred six million, two hundred eighty-six thousand, four hundred twenty-one".

Divisors: 1 3 7 9 21 49 63 147 441 26893 39217 80679 117651 188251 242037 274519 352953 564753 823557 1317757 1694259 1921633 2470671 3953271 5764899 11859813 17294697 1054662781 3163988343 7382639467 9491965029 22147918401 51678476269 66443755203 155035428807 465106286421