Search a number
-
+
55356908712961 is a prime number
BaseRepresentation
bin11001001011000110010001…
…11000010011010000000001
321021000001212010222120102211
430211203020320103100001
524223431422112303321
6313422340210142121
714442255542244652
oct1445431070232001
9237001763876384
1055356908712961
11167028078a9229
126260658881941
1324b71987a8a9b
14d954081b9529
1565ee60bbb0e1
hex3258c8e13401

55356908712961 has 2 divisors, whose sum is σ = 55356908712962. Its totient is φ = 55356908712960.

The previous prime is 55356908712953. The next prime is 55356908713019. The reversal of 55356908712961 is 16921780965355.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 46788760133361 + 8568148579600 = 6840231^2 + 2927140^2 .

It is a cyclic number.

It is not a de Polignac number, because 55356908712961 - 23 = 55356908712953 is a prime.

It is not a weakly prime, because it can be changed into another prime (55356908715961) 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, 27678454356480 + 27678454356481.

It is an arithmetic number, because the mean of its divisors is an integer number (27678454356481).

Almost surely, 255356908712961 is an apocalyptic number.

It is an amenable number.

55356908712961 is a deficient number, since it is larger than the sum of its proper divisors (1).

55356908712961 is an equidigital number, since it uses as much as digits as its factorization.

55356908712961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 122472000, while the sum is 67.

The spelling of 55356908712961 in words is "fifty-five trillion, three hundred fifty-six billion, nine hundred eight million, seven hundred twelve thousand, nine hundred sixty-one".