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11640305424001 = 22695130147829
BaseRepresentation
bin1010100101100011100001…
…0001010001011010000001
31112012210122220021102021011
42221120320101101122001
53011203321142032001
640431252115000521
72310661422402202
oct251307021213201
945183586242234
1011640305424001
113788697a4a081
12137bb76899141
136658a34b0677
142c35727ad5a9
15152bcec3ed51
hexa9638451681

11640305424001 has 4 divisors (see below), whose sum is σ = 11645435574100. Its totient is φ = 11635175273904.

The previous prime is 11640305423987. The next prime is 11640305424019. The reversal of 11640305424001 is 10042450304611.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1221192965776 + 10419112458225 = 1105076^2 + 3227865^2 .

It is a cyclic number.

It is not a de Polignac number, because 11640305424001 - 221 = 11640303326849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11640305424101) 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 3 ways as a sum of consecutive naturals, for example, 2565071646 + ... + 2565076183.

It is an arithmetic number, because the mean of its divisors is an integer number (2911358893525).

Almost surely, 211640305424001 is an apocalyptic number.

It is an amenable number.

11640305424001 is a deficient number, since it is larger than the sum of its proper divisors (5130150099).

11640305424001 is an equidigital number, since it uses as much as digits as its factorization.

11640305424001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5130150098.

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 11640305424001 its reverse (10042450304611), we get a palindrome (21682755728612).

The spelling of 11640305424001 in words is "eleven trillion, six hundred forty billion, three hundred five million, four hundred twenty-four thousand, one".

Divisors: 1 2269 5130147829 11640305424001