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11346626441 is a prime number
BaseRepresentation
bin10101001000100111…
…11100011110001001
31002021202200100022202
422210103330132021
5141214214021231
65113525325545
7551115506363
oct124423743611
932252610282
1011346626441
1148a2969427
122247b668b5
1310ba99c157
14798d3dd33
1546620d5cb
hex2a44fc789

11346626441 has 2 divisors, whose sum is σ = 11346626442. Its totient is φ = 11346626440.

The previous prime is 11346626407. The next prime is 11346626453. The reversal of 11346626441 is 14462664311.

11346626441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8311057225 + 3035569216 = 91165^2 + 55096^2 .

It is a cyclic number.

It is not a de Polignac number, because 11346626441 - 222 = 11342432137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11346626395 and 11346626404.

It is not a weakly prime, because it can be changed into another prime (11346626341) 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 as a sum of consecutive naturals, namely, 5673313220 + 5673313221.

It is an arithmetic number, because the mean of its divisors is an integer number (5673313221).

Almost surely, 211346626441 is an apocalyptic number.

It is an amenable number.

11346626441 is a deficient number, since it is larger than the sum of its proper divisors (1).

11346626441 is an equidigital number, since it uses as much as digits as its factorization.

11346626441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 82944, while the sum is 38.

The spelling of 11346626441 in words is "eleven billion, three hundred forty-six million, six hundred twenty-six thousand, four hundred forty-one".