Search a number
-
+
55752603678767 is a prime number
BaseRepresentation
bin11001010110100111010100…
…01000110011100000101111
321022101220012210212112201202
430223103222020303200233
524301422313020210032
6314324220442400115
714512664331044612
oct1453235210634057
9238356183775652
1055752603678767
1116845601344726
12630528a20003b
1325155a92543c8
14daa624704179
1566a3be688d62
hex32b4ea23382f

55752603678767 has 2 divisors, whose sum is σ = 55752603678768. Its totient is φ = 55752603678766.

The previous prime is 55752603678659. The next prime is 55752603678787. The reversal of 55752603678767 is 76787630625755.

55752603678767 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 is a cyclic number.

It is not a de Polignac number, because 55752603678767 - 28 = 55752603678511 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 55752603678694 and 55752603678703.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (55752603678787) 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, 27876301839383 + 27876301839384.

It is an arithmetic number, because the mean of its divisors is an integer number (27876301839384).

Almost surely, 255752603678767 is an apocalyptic number.

55752603678767 is a deficient number, since it is larger than the sum of its proper divisors (1).

55752603678767 is an equidigital number, since it uses as much as digits as its factorization.

55752603678767 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3111696000, while the sum is 74.

The spelling of 55752603678767 in words is "fifty-five trillion, seven hundred fifty-two billion, six hundred three million, six hundred seventy-eight thousand, seven hundred sixty-seven".