Search a number
-
+
173045586401 is a prime number
BaseRepresentation
bin1010000100101001010…
…0100001100111100001
3121112122211210121020122
42201022110201213201
510313344132231101
6211255051250025
715334142133542
oct2411224414741
9545584717218
10173045586401
116742a7a4326
1229654749915
1313419c0cb0c
1485383484c9
15477bde651b
hex284a5219e1

173045586401 has 2 divisors, whose sum is σ = 173045586402. Its totient is φ = 173045586400.

The previous prime is 173045586377. The next prime is 173045586407. The reversal of 173045586401 is 104685540371.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 127249158400 + 45796428001 = 356720^2 + 214001^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-173045586401 is a prime.

It is a super-2 number, since 2×1730455864012 (a number of 23 digits) contains 22 as substring.

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 (173045586407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 86522793200 + 86522793201.

It is an arithmetic number, because the mean of its divisors is an integer number (86522793201).

Almost surely, 2173045586401 is an apocalyptic number.

It is an amenable number.

173045586401 is a deficient number, since it is larger than the sum of its proper divisors (1).

173045586401 is an equidigital number, since it uses as much as digits as its factorization.

173045586401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 403200, while the sum is 44.

The spelling of 173045586401 in words is "one hundred seventy-three billion, forty-five million, five hundred eighty-six thousand, four hundred one".