Search a number
-
+
36120065446457 is a prime number
BaseRepresentation
bin10000011011001110110111…
…01010111001001000111001
311201220001012110112221112122
420031213123222321020321
514213242343223241312
6204453155021251025
710415405615352656
oct1015473352711071
9151801173487478
1036120065446457
1110566485329503
124074388a03a75
1317201523bc405
148cc31307ac2d
15429874843b72
hex20d9dbab9239

36120065446457 has 2 divisors, whose sum is σ = 36120065446458. Its totient is φ = 36120065446456.

The previous prime is 36120065446441. The next prime is 36120065446471. The reversal of 36120065446457 is 75464456002163.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32442354080761 + 3677711365696 = 5695819^2 + 1917736^2 .

It is an emirp because it is prime and its reverse (75464456002163) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36120065446457 - 24 = 36120065446441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36120065446399 and 36120065446408.

It is not a weakly prime, because it can be changed into another prime (36120065446477) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18060032723228 + 18060032723229.

It is an arithmetic number, because the mean of its divisors is an integer number (18060032723229).

Almost surely, 236120065446457 is an apocalyptic number.

It is an amenable number.

36120065446457 is a deficient number, since it is larger than the sum of its proper divisors (1).

36120065446457 is an equidigital number, since it uses as much as digits as its factorization.

36120065446457 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14515200, while the sum is 53.

The spelling of 36120065446457 in words is "thirty-six trillion, one hundred twenty billion, sixty-five million, four hundred forty-six thousand, four hundred fifty-seven".