Search a number
-
+
10498665857 is a prime number
BaseRepresentation
bin10011100011100010…
…01110110110000001
31000002200002111002012
421301301032312001
5133000124301412
64453434502305
7521111121161
oct116161166601
930080074065
1010498665857
1144a8250059
12204bb94995
13cb40c6224
1471848c5a1
15416a60c22
hex271c4ed81

10498665857 has 2 divisors, whose sum is σ = 10498665858. Its totient is φ = 10498665856.

The previous prime is 10498665829. The next prime is 10498665901. The reversal of 10498665857 is 75856689401.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10007201296 + 491464561 = 100036^2 + 22169^2 .

It is an emirp because it is prime and its reverse (75856689401) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10498665857 is a prime.

It is a super-3 number, since 3×104986658573 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10498665796 and 10498665805.

It is not a weakly prime, because it can be changed into another prime (10498665257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5249332928 + 5249332929.

It is an arithmetic number, because the mean of its divisors is an integer number (5249332929).

Almost surely, 210498665857 is an apocalyptic number.

It is an amenable number.

10498665857 is a deficient number, since it is larger than the sum of its proper divisors (1).

10498665857 is an equidigital number, since it uses as much as digits as its factorization.

10498665857 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 59.

The spelling of 10498665857 in words is "ten billion, four hundred ninety-eight million, six hundred sixty-five thousand, eight hundred fifty-seven".