Search a number
-
+
77233155133289 is a prime number
BaseRepresentation
bin10001100011111000111110…
…110001101100111101101001
3101010110102021101002201020212
4101203320332301230331221
540110342000203231124
6432132231024430505
722160624403601361
oct2143707661547551
9333412241081225
1077233155133289
1122677440676a71
1287b4377478435
1334130945a635c
1415101672539a1
158de02927c40e
hex463e3ec6cf69

77233155133289 has 2 divisors, whose sum is σ = 77233155133290. Its totient is φ = 77233155133288.

The previous prime is 77233155133181. The next prime is 77233155133291. The reversal of 77233155133289 is 98233155133277.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69590916041689 + 7642239091600 = 8342117^2 + 2764460^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-77233155133289 is a prime.

It is a super-2 number, since 2×772331551332892 (a number of 29 digits) contains 22 as substring.

Together with 77233155133291, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (77233155135289) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38616577566644 + 38616577566645.

It is an arithmetic number, because the mean of its divisors is an integer number (38616577566645).

Almost surely, 277233155133289 is an apocalyptic number.

It is an amenable number.

77233155133289 is a deficient number, since it is larger than the sum of its proper divisors (1).

77233155133289 is an equidigital number, since it uses as much as digits as its factorization.

77233155133289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 28576800, while the sum is 59.

The spelling of 77233155133289 in words is "seventy-seven trillion, two hundred thirty-three billion, one hundred fifty-five million, one hundred thirty-three thousand, two hundred eighty-nine".