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55461010037761 = 3701122273122557
BaseRepresentation
bin11001001110001000001011…
…10011010101110000000001
321021101000120010222210122001
430213010011303111300001
524232133122032202021
6313542234122544001
714452632350020426
oct1447040563256001
9237330503883561
1055461010037761
1116742978334359
126278870068001
1324c3c48bc5723
14d9a481c07d4d
15662a04ee3091
hex327105cd5c01

55461010037761 has 8 divisors (see below), whose sum is σ = 55476901814184. Its totient is φ = 55445118758400.

The previous prime is 55461010037749. The next prime is 55461010037809. The reversal of 55461010037761 is 16773001016455.

It can be written as a sum of positive squares in 4 ways, for example, as 17775457049025 + 37685552988736 = 4216095^2 + 6138856^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 55461010037761 - 25 = 55461010037729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (55461010037701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 452471095 + ... + 452593651.

It is an arithmetic number, because the mean of its divisors is an integer number (6934612726773).

Almost surely, 255461010037761 is an apocalyptic number.

It is an amenable number.

55461010037761 is a deficient number, since it is larger than the sum of its proper divisors (15891776423).

55461010037761 is a wasteful number, since it uses less digits than its factorization.

55461010037761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248531.

The product of its (nonzero) digits is 529200, while the sum is 46.

The spelling of 55461010037761 in words is "fifty-five trillion, four hundred sixty-one billion, ten million, thirty-seven thousand, seven hundred sixty-one".

Divisors: 1 3701 122273 122557 452532373 453583457 14985412061 55461010037761