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11746383201281 is a prime number
BaseRepresentation
bin1010101011101110101011…
…1111111000010000000001
31112120221110122022211120002
42222323222333320100001
53014423043044420111
640552114113525345
72321435216544041
oct252735277702001
945527418284502
1011746383201281
1138196820a9203
12139863bb73855
136728aa21b611
142c8756ac7721
1515583c82763b
hexaaeeaff8401

11746383201281 has 2 divisors, whose sum is σ = 11746383201282. Its totient is φ = 11746383201280.

The previous prime is 11746383201263. The next prime is 11746383201283. The reversal of 11746383201281 is 18210238364711.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9782225799025 + 1964157402256 = 3127655^2 + 1401484^2 .

It is a cyclic number.

It is not a de Polignac number, because 11746383201281 - 226 = 11746316092417 is a prime.

It is a super-2 number, since 2×117463832012812 (a number of 27 digits) contains 22 as substring.

Together with 11746383201283, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (11746383201283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5873191600640 + 5873191600641.

It is an arithmetic number, because the mean of its divisors is an integer number (5873191600641).

Almost surely, 211746383201281 is an apocalyptic number.

It is an amenable number.

11746383201281 is a deficient number, since it is larger than the sum of its proper divisors (1).

11746383201281 is an equidigital number, since it uses as much as digits as its factorization.

11746383201281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 387072, while the sum is 47.

The spelling of 11746383201281 in words is "eleven trillion, seven hundred forty-six billion, three hundred eighty-three million, two hundred one thousand, two hundred eighty-one".