Search a number
-
+
54072044032400 = 2452135180110081
BaseRepresentation
bin11000100101101101000001…
…11110100001000110010000
321002110020101201102000021022
430102312200332201012100
524041404021233014100
6311000204253015012
714250401441540102
oct1422664076410620
9232406351360238
1054072044032400
11162579092235a9
126093636184468
132422c83289484
14d4d15abdb572
1563b8108d9e85
hex312da0fa1190

54072044032400 has 30 divisors (see below), whose sum is σ = 129908085788802. Its totient is φ = 21628817612800.

The previous prime is 54072044032351. The next prime is 54072044032469. The reversal of 54072044032400 is 423044027045.

It can be written as a sum of positive squares in 3 ways, for example, as 480742542736 + 53591301489664 = 693356^2 + 7320608^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 67590054641 + ... + 67590055440.

Almost surely, 254072044032400 is an apocalyptic number.

54072044032400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54072044032400 is an abundant number, since it is smaller than the sum of its proper divisors (75836041756402).

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

54072044032400 is a wasteful number, since it uses less digits than its factorization.

54072044032400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135180110099 (or 135180110088 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 35.

Adding to 54072044032400 its reverse (423044027045), we get a palindrome (54495088059445).

The spelling of 54072044032400 in words is "fifty-four trillion, seventy-two billion, forty-four million, thirty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 135180110081 270360220162 540720440324 675900550405 1081440880648 1351801100810 2162881761296 2703602201620 3379502752025 5407204403240 6759005504050 10814408806480 13518011008100 27036022016200 54072044032400