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54384309126 = 23273967108803
BaseRepresentation
bin110010101001100011…
…101011001110000110
312012101010200011002100
4302221203223032012
51342334340343001
640552300252530
73633460000050
oct625143531606
9165333604070
1054384309126
1121078585424
12a659241146
13518919aa94
1428bcb228d0
15163472e586
hexca98eb386

54384309126 has 48 divisors (see below), whose sum is σ = 134701092864. Its totient is φ = 15534314352.

The previous prime is 54384309079. The next prime is 54384309131. The reversal of 54384309126 is 62190348345.

54384309126 is a `hidden beast` number, since 543 + 84 + 3 + 0 + 9 + 1 + 26 = 666.

54384309126 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×543843091262 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 445441 + ... + 554243.

It is an arithmetic number, because the mean of its divisors is an integer number (2806272768).

Almost surely, 254384309126 is an apocalyptic number.

54384309126 is an abundant number, since it is smaller than the sum of its proper divisors (80316783738).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54384309126 is a wasteful number, since it uses less digits than its factorization.

54384309126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112785 (or 112782 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

It can be divided in two parts, 5438430 and 9126, that added together give a square (5447556 = 23342).

The spelling of 54384309126 in words is "fifty-four billion, three hundred eighty-four million, three hundred nine thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 3967 7934 11901 23802 27769 35703 55538 71406 83307 108803 166614 217606 249921 326409 499842 652818 761621 979227 1523242 1958454 2284863 4569726 6854589 13709178 431621501 863243002 1294864503 2589729006 3021350507 3884593509 6042701014 7769187018 9064051521 18128103042 27192154563 54384309126