Search a number
-
+
10664373377 = 721729441461
BaseRepresentation
bin10011110111010010…
…10110110010000001
31000112012220022001202
421323221112302001
5133320034422002
64522114310545
7525162451400
oct117351266201
930465808052
1010664373377
114582840619
122097588455
13100c534808
147324a5637
15426394502
hex27ba56c81

10664373377 has 24 divisors (see below), whose sum is σ = 13588200360. Its totient is φ = 8306511360.

The previous prime is 10664373329. The next prime is 10664373383. The reversal of 10664373377 is 77337346601.

It is a happy number.

10664373377 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 995781136 + 9668592241 = 31556^2 + 98329^2 .

It is not a de Polignac number, because 10664373377 - 28 = 10664373121 is a prime.

It is a super-2 number, since 2×106643733772 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10664373077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196574 + ... + 244887.

It is an arithmetic number, because the mean of its divisors is an integer number (566175015).

Almost surely, 210664373377 is an apocalyptic number.

10664373377 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10664373377 is a deficient number, since it is larger than the sum of its proper divisors (2923826983).

10664373377 is a wasteful number, since it uses less digits than its factorization.

10664373377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441521 (or 441514 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 47.

The spelling of 10664373377 in words is "ten billion, six hundred sixty-four million, three hundred seventy-three thousand, three hundred seventy-seven".

Divisors: 1 7 17 29 49 119 203 493 833 1421 3451 24157 441461 3090227 7504837 12802369 21631589 52533859 89616583 217640273 367737013 627316081 1523481911 10664373377