Search a number
-
+
455641000146641 is a prime number
BaseRepresentation
bin110011110011001110010111…
…1111101010111011011010001
32012202021212001201101210221202
41213212130233331113123101
5434210210232014143031
64253022330310400545
7164654655512436101
oct14746345775273321
92182255051353852
10455641000146641
111221aa299056851
124312a341060155
13167319ba00388a
1480731dbbd5201
1537a2404a242cb
hex19e672ff576d1

455641000146641 has 2 divisors, whose sum is σ = 455641000146642. Its totient is φ = 455641000146640.

The previous prime is 455641000146509. The next prime is 455641000146671. The reversal of 455641000146641 is 146641000146554.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 447211680864400 + 8429319282241 = 21147380^2 + 2903329^2 .

It is a cyclic number.

It is not a de Polignac number, because 455641000146641 - 226 = 455640933037777 is a prime.

It is not a weakly prime, because it can be changed into another prime (455641000146671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 227820500073320 + 227820500073321.

It is an arithmetic number, because the mean of its divisors is an integer number (227820500073321).

Almost surely, 2455641000146641 is an apocalyptic number.

It is an amenable number.

455641000146641 is a deficient number, since it is larger than the sum of its proper divisors (1).

455641000146641 is an equidigital number, since it uses as much as digits as its factorization.

455641000146641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1382400, while the sum is 47.

The spelling of 455641000146641 in words is "four hundred fifty-five trillion, six hundred forty-one billion, one hundred forty-six thousand, six hundred forty-one".