Search a number
-
+
58536471901 is a prime number
BaseRepresentation
bin110110100001000010…
…111010110101011101
312121002111200212121211
4312201002322311131
51424340314100101
642520303424421
74141405541635
oct664102726535
9177074625554
1058536471901
1122909348806
12b4178b5111
13569b49792b
142b943656c5
1517c900ec51
hexda10bad5d

58536471901 has 2 divisors, whose sum is σ = 58536471902. Its totient is φ = 58536471900.

The previous prime is 58536471887. The next prime is 58536471911. The reversal of 58536471901 is 10917463585.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57405764025 + 1130707876 = 239595^2 + 33626^2 .

It is a cyclic number.

It is not a de Polignac number, because 58536471901 - 211 = 58536469853 is a prime.

It is a super-4 number, since 4×585364719014 (a number of 44 digits) contains 4444 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (58536471911) 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, 29268235950 + 29268235951.

It is an arithmetic number, because the mean of its divisors is an integer number (29268235951).

Almost surely, 258536471901 is an apocalyptic number.

It is an amenable number.

58536471901 is a deficient number, since it is larger than the sum of its proper divisors (1).

58536471901 is an equidigital number, since it uses as much as digits as its factorization.

58536471901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 907200, while the sum is 49.

The spelling of 58536471901 in words is "fifty-eight billion, five hundred thirty-six million, four hundred seventy-one thousand, nine hundred one".