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346763405413 is a prime number
BaseRepresentation
bin1010000101111001011…
…01011010100001100101
31020011001112112011021101
411002330231122201211
521140132412433123
6423144555120101
734024056212305
oct5027455324145
91204045464241
10346763405413
111240749a1997
1257256443031
13269131892b9
1412ad7a7d605
159047d27aad
hex50bcb5a865

346763405413 has 2 divisors, whose sum is σ = 346763405414. Its totient is φ = 346763405412.

The previous prime is 346763405411. The next prime is 346763405441. The reversal of 346763405413 is 314504367643.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 204708287809 + 142055117604 = 452447^2 + 376902^2 .

It is a cyclic number.

It is not a de Polignac number, because 346763405413 - 21 = 346763405411 is a prime.

It is a super-3 number, since 3×3467634054133 (a number of 36 digits) contains 333 as substring.

Together with 346763405411, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (346763405411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 173381702706 + 173381702707.

It is an arithmetic number, because the mean of its divisors is an integer number (173381702707).

Almost surely, 2346763405413 is an apocalyptic number.

It is an amenable number.

346763405413 is a deficient number, since it is larger than the sum of its proper divisors (1).

346763405413 is an equidigital number, since it uses as much as digits as its factorization.

346763405413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2177280, while the sum is 46.

The spelling of 346763405413 in words is "three hundred forty-six billion, seven hundred sixty-three million, four hundred five thousand, four hundred thirteen".