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706791969092497 is a prime number
BaseRepresentation
bin1010000010110100101101010…
…0001111110111001110010001
310102200112122121120022121212011
42200231023110033313032101
51220120034423041424442
610543115425332302521
7301606014611230261
oct24055132417671621
93380478546277764
10706791969092497
11195229877584622
1267331028471a41
132444c2731b6b42
14c676cb17a37a1
1556aa433b64117
hex282d2d43f7391

706791969092497 has 2 divisors, whose sum is σ = 706791969092498. Its totient is φ = 706791969092496.

The previous prime is 706791969092431. The next prime is 706791969092563. The reversal of 706791969092497 is 794290969197607.

706791969092497 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (706791969092431) and next prime (706791969092563).

It can be written as a sum of positive squares in only one way, i.e., 658154191194256 + 48637777898241 = 25654516^2 + 6974079^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-706791969092497 is a prime.

It is not a weakly prime, because it can be changed into another prime (706791969092197) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 353395984546248 + 353395984546249.

It is an arithmetic number, because the mean of its divisors is an integer number (353395984546249).

Almost surely, 2706791969092497 is an apocalyptic number.

It is an amenable number.

706791969092497 is a deficient number, since it is larger than the sum of its proper divisors (1).

706791969092497 is an equidigital number, since it uses as much as digits as its factorization.

706791969092497 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5833096416, while the sum is 85.

The spelling of 706791969092497 in words is "seven hundred six trillion, seven hundred ninety-one billion, nine hundred sixty-nine million, ninety-two thousand, four hundred ninety-seven".