Search a number
-
+
54743144134745 = 5111922757146519
BaseRepresentation
bin11000111001001111000011…
…01010001111100001011001
321011211101121211122111100102
430130213201222033201121
524133402424344302440
6312232353033145145
714350030100355203
oct1434474152174131
9234741554574312
1054743144134745
1116496489793360
12618170825b1b5
132471344249751
14d73821c21773
1564dedc71eb15
hex31c9e1a8f859

54743144134745 has 24 divisors (see below), whose sum is σ = 75634043336640. Its totient is φ = 37717764366240.

The previous prime is 54743144134733. The next prime is 54743144134769.

54743144134745 is nontrivially palindromic in base 10.

54743144134745 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 54743144134745 - 24 = 54743144134729 is a prime.

It is an unprimeable number.

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 in 23 ways as a sum of consecutive naturals, for example, 1378553405 + ... + 1378593114.

It is an arithmetic number, because the mean of its divisors is an integer number (3151418472360).

Almost surely, 254743144134745 is an apocalyptic number.

54743144134745 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54743144134745 is a deficient number, since it is larger than the sum of its proper divisors (20890899201895).

54743144134745 is a wasteful number, since it uses less digits than its factorization.

54743144134745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2757146573 (or 2757146554 counting only the distinct ones).

The product of its digits is 45158400, while the sum is 56.

The spelling of 54743144134745 in words is "fifty-four trillion, seven hundred forty-three billion, one hundred forty-four million, one hundred thirty-four thousand, seven hundred forty-five".

Divisors: 1 5 11 19 55 95 209 361 1045 1805 3971 19855 2757146519 13785732595 30328611709 52385783861 151643058545 261928919305 576243622471 995329893359 2881218112355 4976649466795 10948628826949 54743144134745