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705822312493 is a prime number
BaseRepresentation
bin10100100010101100100…
…10011100100000101101
32111110211222012111222101
422101112102130200231
543031011002444433
61300130021415101
7101664635444344
oct12212622344055
92443758174871
10705822312493
11252379327201
12b496256a491
135173579156c
142623a69cb5b
15135602e207d
hexa45649c82d

705822312493 has 2 divisors, whose sum is σ = 705822312494. Its totient is φ = 705822312492.

The previous prime is 705822312491. The next prime is 705822312511. The reversal of 705822312493 is 394213228507.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 642880032804 + 62942279689 = 801798^2 + 250883^2 .

It is a cyclic number.

It is not a de Polignac number, because 705822312493 - 21 = 705822312491 is a prime.

It is a super-2 number, since 2×7058223124932 (a number of 24 digits) contains 22 as substring.

Together with 705822312491, 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 (705822312491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 352911156246 + 352911156247.

It is an arithmetic number, because the mean of its divisors is an integer number (352911156247).

Almost surely, 2705822312493 is an apocalyptic number.

It is an amenable number.

705822312493 is a deficient number, since it is larger than the sum of its proper divisors (1).

705822312493 is an equidigital number, since it uses as much as digits as its factorization.

705822312493 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 705822312493 in words is "seven hundred five billion, eight hundred twenty-two million, three hundred twelve thousand, four hundred ninety-three".