Search a number
-
+
13036357716433 is a prime number
BaseRepresentation
bin1011110110110100001101…
…1110001000100111010001
31201011021010011221220000121
42331231003132020213101
53202041430033411213
643420453044350241
72513563045161562
oct275550336104721
951137104856017
1013036357716433
11417676308a227
1215666499a5381
137374282747ac
14330d6a998169
1517918b50888d
hexbdb437889d1

13036357716433 has 2 divisors, whose sum is σ = 13036357716434. Its totient is φ = 13036357716432.

The previous prime is 13036357716419. The next prime is 13036357716439. The reversal of 13036357716433 is 33461775363031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11110335569089 + 1926022147344 = 3333217^2 + 1387812^2 .

It is a cyclic number.

It is not a de Polignac number, because 13036357716433 - 29 = 13036357715921 is a prime.

It is not a weakly prime, because it can be changed into another prime (13036357716439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6518178858216 + 6518178858217.

It is an arithmetic number, because the mean of its divisors is an integer number (6518178858217).

Almost surely, 213036357716433 is an apocalyptic number.

It is an amenable number.

13036357716433 is a deficient number, since it is larger than the sum of its proper divisors (1).

13036357716433 is an equidigital number, since it uses as much as digits as its factorization.

13036357716433 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8573040, while the sum is 52.

The spelling of 13036357716433 in words is "thirteen trillion, thirty-six billion, three hundred fifty-seven million, seven hundred sixteen thousand, four hundred thirty-three".