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78133265729 is a prime number
BaseRepresentation
bin100100011000100011…
…0110000010101000001
321110200020112010222122
41020301012300111001
52240004104000404
655521031014025
75434133541431
oct1106106602501
9243606463878
1078133265729
1130155211a92
121318680a315
1374a247a81c
143ad2c902c1
1520746823be
hex12311b0541

78133265729 has 2 divisors, whose sum is σ = 78133265730. Its totient is φ = 78133265728.

The previous prime is 78133265657. The next prime is 78133265773. The reversal of 78133265729 is 92756233187.

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., 69723458704 + 8409807025 = 264052^2 + 91705^2 .

It is a cyclic number.

It is not a de Polignac number, because 78133265729 - 28 = 78133265473 is a prime.

It is a super-2 number, since 2×781332657292 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (78133205729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 39066632864 + 39066632865.

It is an arithmetic number, because the mean of its divisors is an integer number (39066632865).

Almost surely, 278133265729 is an apocalyptic number.

It is an amenable number.

78133265729 is a deficient number, since it is larger than the sum of its proper divisors (1).

78133265729 is an equidigital number, since it uses as much as digits as its factorization.

78133265729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3810240, while the sum is 53.

The spelling of 78133265729 in words is "seventy-eight billion, one hundred thirty-three million, two hundred sixty-five thousand, seven hundred twenty-nine".