Search a number
-
+
9993921141917 is a prime number
BaseRepresentation
bin1001000101101110010000…
…0111101001110010011101
31022101102001112210021012102
42101123210013221302131
52302220022303020132
633131051034014445
72051015453040056
oct221334407516235
938342045707172
109993921141917
113203441a41a69
121154a7bb77425
1357656593c08b
142679cba7372d
15124e7142ec62
hex916e41e9c9d

9993921141917 has 2 divisors, whose sum is σ = 9993921141918. Its totient is φ = 9993921141916.

The previous prime is 9993921141901. The next prime is 9993921142027. The reversal of 9993921141917 is 7191411293999.

It is a happy number.

9993921141917 is digitally balanced in base 2, 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., 5985000173476 + 4008920968441 = 2446426^2 + 2002229^2 .

It is an emirp because it is prime and its reverse (7191411293999) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9993921141917 - 24 = 9993921141901 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9993921144917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4996960570958 + 4996960570959.

It is an arithmetic number, because the mean of its divisors is an integer number (4996960570959).

Almost surely, 29993921141917 is an apocalyptic number.

It is an amenable number.

9993921141917 is a deficient number, since it is larger than the sum of its proper divisors (1).

9993921141917 is an equidigital number, since it uses as much as digits as its factorization.

9993921141917 is an evil number, because the sum of its binary digits is even.

The product of its digits is 9920232, while the sum is 65.

The spelling of 9993921141917 in words is "nine trillion, nine hundred ninety-three billion, nine hundred twenty-one million, one hundred forty-one thousand, nine hundred seventeen".