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54124842145 = 511363112889
BaseRepresentation
bin110010011010000101…
…111000110010100001
312011201001102212022011
4302122011320302201
51341321424422040
640510431112521
73624156365413
oct623205706241
9164631385264
1054124842145
1120a55076000
12a5a6372741
1351474c231a
1428964a09b3
15161ba7a3ea
hexc9a178ca1

54124842145 has 32 divisors (see below), whose sum is σ = 71558680320. Its totient is φ = 39298089600.

The previous prime is 54124842103. The next prime is 54124842169.

It is a happy number.

54124842145 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54124842145 - 27 = 54124842017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54124842098 and 54124842107.

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, 4192861 + ... + 4205749.

It is an arithmetic number, because the mean of its divisors is an integer number (2236208760).

Almost surely, 254124842145 is an apocalyptic number.

54124842145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54124842145 is a deficient number, since it is larger than the sum of its proper divisors (17433838175).

54124842145 is a wasteful number, since it uses less digits than its factorization.

54124842145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13558 (or 13536 counting only the distinct ones).

The product of its digits is 204800, while the sum is 40.

The spelling of 54124842145 in words is "fifty-four billion, one hundred twenty-four million, eight hundred forty-two thousand, one hundred forty-five".

Divisors: 1 5 11 55 121 605 631 1331 3155 6655 6941 12889 34705 64445 76351 141779 381755 708895 839861 1559569 4199305 7797845 8132959 17155259 40664795 85776295 89462549 447312745 984088039 4920440195 10824968429 54124842145