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843956406241 = 132706672
BaseRepresentation
bin11000100011111111011…
…10001100011111100001
32222200101202212112112121
430101333232030133201
5102311410314444431
61443412550424241
7114655012042624
oct14217756143741
92880352775477
10843956406241
112a5a13431363
12117693362081
136177a8c9100
142cbc2179dbb
1516e472dc611
hexc47fb8c7e1

843956406241 has 9 divisors (see below), whose sum is σ = 913882886931. Its totient is φ = 779025658632.

The previous prime is 843956406133. The next prime is 843956406269. The reversal of 843956406241 is 142604659348.

The square root of 843956406241 is 918671.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 124845622225 + 719110784016 = 353335^2 + 848004^2 .

It is not a de Polignac number, because 843956406241 - 231 = 841808922593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (843956406341) 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 8 ways as a sum of consecutive naturals, for example, 11907390 + ... + 11978056.

Almost surely, 2843956406241 is an apocalyptic number.

843956406241 is the 918671-st square number.

843956406241 is the 459336-th centered octagonal number.

It is an amenable number.

843956406241 is a deficient number, since it is larger than the sum of its proper divisors (69926480690).

843956406241 is an frugal number, since it uses more digits than its factorization.

843956406241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141360 (or 70680 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 52.

The spelling of 843956406241 in words is "eight hundred forty-three billion, nine hundred fifty-six million, four hundred six thousand, two hundred forty-one".

Divisors: 1 13 169 70667 918671 11942723 4993824889 64919723557 843956406241