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11640605321 = 103314237919
BaseRepresentation
bin10101101011101010…
…11000101010001001
31010001020212000112102
422311311120222021
5142314443332241
65203030323145
7561315340562
oct126565305211
933036760472
1011640605321
114a33900084
12230a4b94b5
13113686c457
147c5dc7169
15481e2d39b
hex2b5d58a89

11640605321 has 8 divisors (see below), whose sum is σ = 11661534720. Its totient is φ = 11619696672.

The previous prime is 11640605309. The next prime is 11640605351. The reversal of 11640605321 is 12350604611.

It is a happy number.

11640605321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11640605321 - 26 = 11640605257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11640605351) 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, 1466000 + ... + 1473918.

It is an arithmetic number, because the mean of its divisors is an integer number (1457691840).

Almost surely, 211640605321 is an apocalyptic number.

It is an amenable number.

11640605321 is a deficient number, since it is larger than the sum of its proper divisors (20929399).

11640605321 is a wasteful number, since it uses less digits than its factorization.

11640605321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10375.

The product of its (nonzero) digits is 4320, while the sum is 29.

The spelling of 11640605321 in words is "eleven billion, six hundred forty million, six hundred five thousand, three hundred twenty-one".

Divisors: 1 1033 1423 7919 1469959 8180327 11268737 11640605321