Search a number
-
+
56446132849 is a prime number
BaseRepresentation
bin110100100100011100…
…111010001001110001
312101200211100122111221
4310210130322021301
51411100202222344
641533032305041
74035534132661
oct644434721161
9171624318457
1056446132849
1121a36409077
12ab33842181
1354273b0212
142a368b21a1
151705755184
hexd2473a271

56446132849 has 2 divisors, whose sum is σ = 56446132850. Its totient is φ = 56446132848.

The previous prime is 56446132837. The next prime is 56446132861. The reversal of 56446132849 is 94823164465.

It is a balanced prime because it is at equal distance from previous prime (56446132837) and next prime (56446132861).

It can be written as a sum of positive squares in only one way, i.e., 31421107600 + 25025025249 = 177260^2 + 158193^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-56446132849 is a prime.

It is a super-3 number, since 3×564461328493 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 56446132796 and 56446132805.

It is not a weakly prime, because it can be changed into another prime (56446135849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28223066424 + 28223066425.

It is an arithmetic number, because the mean of its divisors is an integer number (28223066425).

Almost surely, 256446132849 is an apocalyptic number.

It is an amenable number.

56446132849 is a deficient number, since it is larger than the sum of its proper divisors (1).

56446132849 is an equidigital number, since it uses as much as digits as its factorization.

56446132849 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 56446132849 in words is "fifty-six billion, four hundred forty-six million, one hundred thirty-two thousand, eight hundred forty-nine".