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13546045441 = 97293541881
BaseRepresentation
bin11001001110110100…
…00100000000000001
31021222001021101222201
430213122010000001
5210220241423231
610120054433201
7656453325565
oct144732040001
937861241881
1013546045441
115821431485
122760662801
13137b559206
149270a96a5
15544363161
hex327684001

13546045441 has 16 divisors (see below), whose sum is σ = 13773403728. Its totient is φ = 13320806400.

The previous prime is 13546045433. The next prime is 13546045453. The reversal of 13546045441 is 14454064531.

It can be written as a sum of positive squares in 8 ways, for example, as 6395841 + 13539649600 = 2529^2 + 116360^2 .

It is a cyclic number.

It is not a de Polignac number, because 13546045441 - 23 = 13546045433 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 13546045441.

It is not an unprimeable number, because it can be changed into a prime (13546045141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15375321 + ... + 15376201.

It is an arithmetic number, because the mean of its divisors is an integer number (860837733).

Almost surely, 213546045441 is an apocalyptic number.

It is an amenable number.

13546045441 is a deficient number, since it is larger than the sum of its proper divisors (227358287).

13546045441 is an equidigital number, since it uses as much as digits as its factorization.

13546045441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812.

The product of its (nonzero) digits is 115200, while the sum is 37.

It can be divided in two parts, 135460 and 45441, that added together give a triangular number (180901 = T601).

The spelling of 13546045441 in words is "thirteen billion, five hundred forty-six million, forty-five thousand, four hundred forty-one".

Divisors: 1 97 293 541 881 28421 52477 85457 158513 258133 476621 15375761 25038901 46232237 139649953 13546045441