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433414431056061 = 32713529199549519
BaseRepresentation
bin110001010001100000010100…
…1001101000010000010111101
32002211121000101220101010101200
41202203000221031002002331
5423302030223322243221
64133443501345330113
7160202105432414460
oct14243005115020275
92084530356333350
10433414431056061
11116110034270834
124073a754036939
13157aba61830250
1479055284d32d7
153519185e23426
hex18a30293420bd

433414431056061 has 24 divisors (see below), whose sum is σ = 770514544101120. Its totient is φ = 228614205391776.

The previous prime is 433414431056051. The next prime is 433414431056137. The reversal of 433414431056061 is 160650134414334.

433414431056061 is a `hidden beast` number, since 4 + 3 + 3 + 4 + 1 + 4 + 4 + 31 + 0 + 5 + 606 + 1 = 666.

It is not a de Polignac number, because 433414431056061 - 233 = 433405841121469 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 433414431055998 and 433414431056016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (433414431056051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264599773941 + ... + 264599775578.

It is an arithmetic number, because the mean of its divisors is an integer number (32104772670880).

Almost surely, 2433414431056061 is an apocalyptic number.

It is an amenable number.

433414431056061 is a deficient number, since it is larger than the sum of its proper divisors (337100113045059).

433414431056061 is a wasteful number, since it uses less digits than its factorization.

433414431056061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529199549545 (or 529199549542 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 433414431056061 in words is "four hundred thirty-three trillion, four hundred fourteen billion, four hundred thirty-one million, fifty-six thousand, sixty-one".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 529199549519 1587598648557 3704396846633 4762795945671 6879594143747 11113190539899 20638782431241 33339571619697 48157159006229 61916347293723 144471477018687 433414431056061