Search a number
-
+
5993137956941 is a prime number
BaseRepresentation
bin101011100110110001011…
…0110111110100001001101
3210012221100002101122110022
41113031202312332201031
51241142421304110231
620425113133351525
71155663355052552
oct127154266764115
923187302348408
105993137956941
111a00748154993
128096159385a5
133461c57ca2a5
1416a0d8704a29
15a5d6681ec7b
hex57362dbe84d

5993137956941 has 2 divisors, whose sum is σ = 5993137956942. Its totient is φ = 5993137956940.

The previous prime is 5993137956913. The next prime is 5993137957067. The reversal of 5993137956941 is 1496597313995.

5993137956941 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3144756035716 + 2848381921225 = 1773346^2 + 1687715^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-5993137956941 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (5993137956241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2996568978470 + 2996568978471.

It is an arithmetic number, because the mean of its divisors is an integer number (2996568978471).

Almost surely, 25993137956941 is an apocalyptic number.

It is an amenable number.

5993137956941 is a deficient number, since it is larger than the sum of its proper divisors (1).

5993137956941 is an equidigital number, since it uses as much as digits as its factorization.

5993137956941 is an evil number, because the sum of its binary digits is even.

The product of its digits is 248005800, while the sum is 71.

The spelling of 5993137956941 in words is "five trillion, nine hundred ninety-three billion, one hundred thirty-seven million, nine hundred fifty-six thousand, nine hundred forty-one".