Search a number
-
+
75381355458217 is a prime number
BaseRepresentation
bin10001001000111100010110…
…111010100010111010101001
3100212220101110021022102002001
4101020330112322202322221
534340022003444130332
6424153414443011001
721610060155222424
oct2110742672427251
9325811407272061
1075381355458217
1122023064a71866
1285554b3509a61
13330a57b7b6253
1414886971249bb
158aac96d8c0e7
hex448f16ea2ea9

75381355458217 has 2 divisors, whose sum is σ = 75381355458218. Its totient is φ = 75381355458216.

The previous prime is 75381355458133. The next prime is 75381355458313. The reversal of 75381355458217 is 71285455318357.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 48536148970521 + 26845206487696 = 6966789^2 + 5181236^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-75381355458217 is a prime.

It is not a weakly prime, because it can be changed into another prime (75381355428217) 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, 37690677729108 + 37690677729109.

It is an arithmetic number, because the mean of its divisors is an integer number (37690677729109).

Almost surely, 275381355458217 is an apocalyptic number.

It is an amenable number.

75381355458217 is a deficient number, since it is larger than the sum of its proper divisors (1).

75381355458217 is an equidigital number, since it uses as much as digits as its factorization.

75381355458217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 141120000, while the sum is 64.

The spelling of 75381355458217 in words is "seventy-five trillion, three hundred eighty-one billion, three hundred fifty-five million, four hundred fifty-eight thousand, two hundred seventeen".