Search a number
-
+
55366623506177 is a prime number
BaseRepresentation
bin11001001011011000010111…
…11011010010111100000001
321021000222221012002012101222
430211230023323102330001
524224111321104144202
6313431024204004425
714443051354522154
oct1445541373227401
9237028835065358
1055366623506177
1116706942623155
12626250a230715
1324b8086377939
14d95a8a4d9c9b
1566032d9dd4a2
hex325b0bed2f01

55366623506177 has 2 divisors, whose sum is σ = 55366623506178. Its totient is φ = 55366623506176.

The previous prime is 55366623506143. The next prime is 55366623506191. The reversal of 55366623506177 is 77160532666355.

55366623506177 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52148632402801 + 3217991103376 = 7221401^2 + 1793876^2 .

It is a cyclic number.

It is not a de Polignac number, because 55366623506177 - 228 = 55366355070721 is a prime.

It is not a weakly prime, because it can be changed into another prime (55366623506107) 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 as a sum of consecutive naturals, namely, 27683311753088 + 27683311753089.

It is an arithmetic number, because the mean of its divisors is an integer number (27683311753089).

Almost surely, 255366623506177 is an apocalyptic number.

It is an amenable number.

55366623506177 is a deficient number, since it is larger than the sum of its proper divisors (1).

55366623506177 is an equidigital number, since it uses as much as digits as its factorization.

55366623506177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 142884000, while the sum is 62.

The spelling of 55366623506177 in words is "fifty-five trillion, three hundred sixty-six billion, six hundred twenty-three million, five hundred six thousand, one hundred seventy-seven".