Search a number
-
+
13972901797 is a prime number
BaseRepresentation
bin11010000001101100…
…11000111110100101
31100001210110221211101
431000312120332211
5212104030324142
610230303440101
71003155464011
oct150066307645
940053427741
1013972901797
115a2037aa28
12285b5b6031
131418b1193a
14967a61541
1556ba7e0b7
hex340d98fa5

13972901797 has 2 divisors, whose sum is σ = 13972901798. Its totient is φ = 13972901796.

The previous prime is 13972901779. The next prime is 13972901807. The reversal of 13972901797 is 79710927931.

13972901797 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (13972901779) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12680786881 + 1292114916 = 112609^2 + 35946^2 .

It is an emirp because it is prime and its reverse (79710927931) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13972901797 is a prime.

It is a super-3 number, since 3×139729017973 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13972901897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6986450898 + 6986450899.

It is an arithmetic number, because the mean of its divisors is an integer number (6986450899).

Almost surely, 213972901797 is an apocalyptic number.

It is an amenable number.

13972901797 is a deficient number, since it is larger than the sum of its proper divisors (1).

13972901797 is an equidigital number, since it uses as much as digits as its factorization.

13972901797 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1500282, while the sum is 55.

The spelling of 13972901797 in words is "thirteen billion, nine hundred seventy-two million, nine hundred one thousand, seven hundred ninety-seven".