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55168461401 is a prime number
BaseRepresentation
bin110011011000010010…
…111110101001011001
312021101210012012210012
4303120102332221121
51400441111231101
641202151331305
73662061120224
oct633022765131
9167353165705
1055168461401
1121440181659
12a837980b35
135282792501
142954d245bb
15167d4c5bbb
hexcd84bea59

55168461401 has 2 divisors, whose sum is σ = 55168461402. Its totient is φ = 55168461400.

The previous prime is 55168461391. The next prime is 55168461407. The reversal of 55168461401 is 10416486155.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55102867600 + 65593801 = 234740^2 + 8099^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-55168461401 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (55168461407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27584230700 + 27584230701.

It is an arithmetic number, because the mean of its divisors is an integer number (27584230701).

Almost surely, 255168461401 is an apocalyptic number.

It is an amenable number.

55168461401 is a deficient number, since it is larger than the sum of its proper divisors (1).

55168461401 is an equidigital number, since it uses as much as digits as its factorization.

55168461401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 115200, while the sum is 41.

The spelling of 55168461401 in words is "fifty-five billion, one hundred sixty-eight million, four hundred sixty-one thousand, four hundred one".