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10663316564 = 2217324776221
BaseRepresentation
bin10011110111001010…
…10100110001010100
31000112010220121101112
421323211110301110
5133314302112224
64522035514152
7525150460325
oct117345246124
930463817345
1010663316564
11458218961a
122097158958
13100c254794
147322ac44c
1542623630e
hex27b954c54

10663316564 has 24 divisors (see below), whose sum is σ = 18779265288. Its totient is φ = 5297847680.

The previous prime is 10663316551. The next prime is 10663316569. The reversal of 10663316564 is 46561336601.

10663316564 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 1184736400 + 9478580164 = 34420^2 + 97358^2 .

It is a super-2 number, since 2×106633165642 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10663316569) 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 7 ways as a sum of consecutive naturals, for example, 1710974 + ... + 1717194.

It is an arithmetic number, because the mean of its divisors is an integer number (782469387).

Almost surely, 210663316564 is an apocalyptic number.

It is an amenable number.

10663316564 is a deficient number, since it is larger than the sum of its proper divisors (8115948724).

10663316564 is a wasteful number, since it uses less digits than its factorization.

10663316564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8875 (or 8873 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 41.

The spelling of 10663316564 in words is "ten billion, six hundred sixty-three million, three hundred sixteen thousand, five hundred sixty-four".

Divisors: 1 2 4 173 346 692 2477 4954 6221 9908 12442 24884 428521 857042 1076233 1714084 2152466 4304932 15409417 30818834 61637668 2665829141 5331658282 10663316564