Search a number
-
+
39418098724133 is a prime number
BaseRepresentation
bin10001111011001101111011…
…10001011010110100100101
312011120100000002000101220022
420331212331301122310211
520131311231233133013
6215500231412244525
711205602142600203
oct1075467561326445
9164510002011808
1039418098724133
1111618138113928
1245075a9610745
1318cc15945569c
149a3bbbc00073
1548554dc59008
hex23d9bdc5ad25

39418098724133 has 2 divisors, whose sum is σ = 39418098724134. Its totient is φ = 39418098724132.

The previous prime is 39418098724057. The next prime is 39418098724177. The reversal of 39418098724133 is 33142789081493.

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., 25144678715809 + 14273420008324 = 5014447^2 + 3778018^2 .

It is a cyclic number.

It is not a de Polignac number, because 39418098724133 - 226 = 39418031615269 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (39418098724633) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19709049362066 + 19709049362067.

It is an arithmetic number, because the mean of its divisors is an integer number (19709049362067).

Almost surely, 239418098724133 is an apocalyptic number.

It is an amenable number.

39418098724133 is a deficient number, since it is larger than the sum of its proper divisors (1).

39418098724133 is an equidigital number, since it uses as much as digits as its factorization.

39418098724133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31352832, while the sum is 62.

The spelling of 39418098724133 in words is "thirty-nine trillion, four hundred eighteen billion, ninety-eight million, seven hundred twenty-four thousand, one hundred thirty-three".