Search a number
-
+
7137483960401 is a prime number
BaseRepresentation
bin110011111011101001100…
…1100100011000001010001
3221021100002112021210122122
41213313103030203001101
51413420031343213101
623102525335544025
71334444335435124
oct147672314430121
927240075253578
107137483960401
112301a98692713
12973360b2b015
133ca0a5b635a2
141a965563a3bb
15c59e05c751b
hex67dd3323051

7137483960401 has 2 divisors, whose sum is σ = 7137483960402. Its totient is φ = 7137483960400.

The previous prime is 7137483960361. The next prime is 7137483960403. The reversal of 7137483960401 is 1040693847317.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5572172697025 + 1565311263376 = 2360545^2 + 1251124^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-7137483960401 is a prime.

It is a Sophie Germain prime.

Together with 7137483960403, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (7137483960403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3568741980200 + 3568741980201.

It is an arithmetic number, because the mean of its divisors is an integer number (3568741980201).

Almost surely, 27137483960401 is an apocalyptic number.

It is an amenable number.

7137483960401 is a deficient number, since it is larger than the sum of its proper divisors (1).

7137483960401 is an equidigital number, since it uses as much as digits as its factorization.

7137483960401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3048192, while the sum is 53.

The spelling of 7137483960401 in words is "seven trillion, one hundred thirty-seven billion, four hundred eighty-three million, nine hundred sixty thousand, four hundred one".