Search a number
-
+
10346642533849 is a prime number
BaseRepresentation
bin1001011010010000001111…
…1100111110110111011001
31100122010111022022111111011
42112210003330332313121
52324004410442040344
634001103145333521
72115343306305436
oct226440374766731
940563438274434
1010346642533849
113329a93a79356
1211b12b97972a1
135a08b8273c8b
1427aaccb06b8d
1512e217341d34
hex96903f3edd9

10346642533849 has 2 divisors, whose sum is σ = 10346642533850. Its totient is φ = 10346642533848.

The previous prime is 10346642533847. The next prime is 10346642533867. The reversal of 10346642533849 is 94833524664301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10344939486025 + 1703047824 = 3216355^2 + 41268^2 .

It is a cyclic number.

It is not a de Polignac number, because 10346642533849 - 21 = 10346642533847 is a prime.

It is a super-2 number, since 2×103466425338492 (a number of 27 digits) contains 22 as substring.

Together with 10346642533847, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 10346642533793 and 10346642533802.

It is not a weakly prime, because it can be changed into another prime (10346642533847) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5173321266924 + 5173321266925.

It is an arithmetic number, because the mean of its divisors is an integer number (5173321266925).

Almost surely, 210346642533849 is an apocalyptic number.

It is an amenable number.

10346642533849 is a deficient number, since it is larger than the sum of its proper divisors (1).

10346642533849 is an equidigital number, since it uses as much as digits as its factorization.

10346642533849 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 44789760, while the sum is 58.

The spelling of 10346642533849 in words is "ten trillion, three hundred forty-six billion, six hundred forty-two million, five hundred thirty-three thousand, eight hundred forty-nine".