Search a number
-
+
109957414549 is a prime number
BaseRepresentation
bin110011001100111111…
…0001111111010010101
3101111211010021102010011
41212121332033322111
53300143044231144
6122302545000221
710641563413423
oct1463176177225
9344733242104
10109957414549
11426a6104024
1219388623071
13a4a4739608
14547169a113
152cd84d4a34
hex1999f8fe95

109957414549 has 2 divisors, whose sum is σ = 109957414550. Its totient is φ = 109957414548.

The previous prime is 109957414529. The next prime is 109957414571. The reversal of 109957414549 is 945414759901.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 109953917649 + 3496900 = 331593^2 + 1870^2 .

It is an emirp because it is prime and its reverse (945414759901) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 109957414549 - 27 = 109957414421 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 109957414493 and 109957414502.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (109957414529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 54978707274 + 54978707275.

It is an arithmetic number, because the mean of its divisors is an integer number (54978707275).

Almost surely, 2109957414549 is an apocalyptic number.

It is an amenable number.

109957414549 is a deficient number, since it is larger than the sum of its proper divisors (1).

109957414549 is an equidigital number, since it uses as much as digits as its factorization.

109957414549 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8164800, while the sum is 58.

The spelling of 109957414549 in words is "one hundred nine billion, nine hundred fifty-seven million, four hundred fourteen thousand, five hundred forty-nine".