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11040335329 = 17925872
BaseRepresentation
bin10100100100000111…
…00010010111100001
31001111102100010220111
422102003202113201
5140102311212304
65023304411321
7540406205362
oct122203422741
931442303814
1011040335329
114755a88381
122181476b41
13106c3aa9ca
1476a3adb69
154493aa704
hex2920e25e1

11040335329 has 9 divisors (see below), whose sum is σ = 11121303697. Its totient is φ = 10959954484.

The previous prime is 11040335309. The next prime is 11040335333. The reversal of 11040335329 is 92353304011.

The square root of 11040335329 is 105073.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 11040335329 - 211 = 11040333281 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11040335329.

It is not an unprimeable number, because it can be changed into a prime (11040335309) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18807774 + ... + 18808360.

Almost surely, 211040335329 is an apocalyptic number.

11040335329 is the 105073-rd square number.

11040335329 is the 52537-th centered octagonal number.

It is an amenable number.

11040335329 is a deficient number, since it is larger than the sum of its proper divisors (80968368).

11040335329 is an frugal number, since it uses more digits than its factorization.

11040335329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 31.

The spelling of 11040335329 in words is "eleven billion, forty million, three hundred thirty-five thousand, three hundred twenty-nine".

Divisors: 1 179 587 32041 105073 344569 18808067 61677851 11040335329