Search a number
-
+
10046668777 is a prime number
BaseRepresentation
bin10010101101101001…
…11111111111101001
3221221011120122122121
421112310333333221
5131033421400102
64340530551241
7503652163345
oct112664777751
927834518577
1010046668777
11429609aa52
121b44738521
13c4157a532
146b4430625
153dc02ab37
hex256d3ffe9

10046668777 has 2 divisors, whose sum is σ = 10046668778. Its totient is φ = 10046668776.

The previous prime is 10046668771. The next prime is 10046668859. The reversal of 10046668777 is 77786664001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7099916121 + 2946752656 = 84261^2 + 54284^2 .

It is an emirp because it is prime and its reverse (77786664001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10046668777 - 27 = 10046668649 is a prime.

It is a super-3 number, since 3×100466687773 (a number of 31 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (10046668771) 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, 5023334388 + 5023334389.

It is an arithmetic number, because the mean of its divisors is an integer number (5023334389).

Almost surely, 210046668777 is an apocalyptic number.

It is an amenable number.

10046668777 is a deficient number, since it is larger than the sum of its proper divisors (1).

10046668777 is an equidigital number, since it uses as much as digits as its factorization.

10046668777 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2370816, while the sum is 52.

The spelling of 10046668777 in words is "ten billion, forty-six million, six hundred sixty-eight thousand, seven hundred seventy-seven".