Search a number
-
+
54182488428145 = 57111097128289641
BaseRepresentation
bin11000101000111010101111…
…11110011100111001110001
321002211210110210000122000001
430110131113332130321301
524100211214014200040
6311123031435430001
714261361400446010
oct1424352776347161
9232753423018001
1054182488428145
111629a734201820
1260b0b198b5301
13243050487022c
14d54637020a77
1563e626a1559a
hex314757f9ce71

54182488428145 has 32 divisors (see below), whose sum is σ = 81136527503616. Its totient is φ = 33745306905600.

The previous prime is 54182488428137. The next prime is 54182488428199.

54182488428145 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54182488428145 - 23 = 54182488428137 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63722476 + ... + 64567165.

It is an arithmetic number, because the mean of its divisors is an integer number (2535516484488).

Almost surely, 254182488428145 is an apocalyptic number.

54182488428145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54182488428145 is a deficient number, since it is larger than the sum of its proper divisors (26954039075471).

54182488428145 is a wasteful number, since it uses less digits than its factorization.

54182488428145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128290761.

The product of its digits is 104857600, while the sum is 64.

The spelling of 54182488428145 in words is "fifty-four trillion, one hundred eighty-two billion, four hundred eighty-eight million, four hundred twenty-eight thousand, one hundred forty-five".

Divisors: 1 5 7 11 35 55 77 385 1097 5485 7679 12067 38395 60335 84469 422345 128289641 641448205 898027487 1411186051 4490137435 7055930255 9878302357 49391511785 140733736177 703668680885 985136153239 1548071097947 4925680766195 7740355489735 10836497685629 54182488428145