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346851460786133 is a prime number
BaseRepresentation
bin100111011011101011010011…
…0000111000010011111010101
31200111002200020200002200112102
41032313112212013002133111
5330430303242430124013
63225405210015131445
7133026122353365422
oct11667264607023725
91614080220080472
10346851460786133
11a057697323aa56
1232a9a178513b85
1311b6cc4c58ac34
1461919b37acd49
152a1760854ad58
hex13b75a61c27d5

346851460786133 has 2 divisors, whose sum is σ = 346851460786134. Its totient is φ = 346851460786132.

The previous prime is 346851460786021. The next prime is 346851460786141. The reversal of 346851460786133 is 331687064158643.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 299278685906929 + 47572774879204 = 17299673^2 + 6897302^2 .

It is an emirp because it is prime and its reverse (331687064158643) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 346851460786133 - 224 = 346851444008917 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 346851460786133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (346851460783133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 173425730393066 + 173425730393067.

It is an arithmetic number, because the mean of its divisors is an integer number (173425730393067).

Almost surely, 2346851460786133 is an apocalyptic number.

It is an amenable number.

346851460786133 is a deficient number, since it is larger than the sum of its proper divisors (1).

346851460786133 is an equidigital number, since it uses as much as digits as its factorization.

346851460786133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 209018880, while the sum is 65.

The spelling of 346851460786133 in words is "three hundred forty-six trillion, eight hundred fifty-one billion, four hundred sixty million, seven hundred eighty-six thousand, one hundred thirty-three".