Search a number
-
+
10664578733 is a prime number
BaseRepresentation
bin10011110111010100…
…01000111010101101
31000112020021201202112
421323222020322231
5133320113004413
64522122533405
7525164265164
oct117352107255
930466251675
1010664578733
114582970936
122097667265
13100c5a7123
1473251a3db
154263d52a8
hex27ba88ead

10664578733 has 2 divisors, whose sum is σ = 10664578734. Its totient is φ = 10664578732.

The previous prime is 10664578681. The next prime is 10664578759. The reversal of 10664578733 is 33787546601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7914415369 + 2750163364 = 88963^2 + 52442^2 .

It is an emirp because it is prime and its reverse (33787546601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10664578733 - 210 = 10664577709 is a prime.

It is a super-2 number, since 2×106645787332 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10664578763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5332289366 + 5332289367.

It is an arithmetic number, because the mean of its divisors is an integer number (5332289367).

Almost surely, 210664578733 is an apocalyptic number.

It is an amenable number.

10664578733 is a deficient number, since it is larger than the sum of its proper divisors (1).

10664578733 is an equidigital number, since it uses as much as digits as its factorization.

10664578733 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2540160, while the sum is 50.

The spelling of 10664578733 in words is "ten billion, six hundred sixty-four million, five hundred seventy-eight thousand, seven hundred thirty-three".