Search a number
-
+
55305532525800 = 23352731262683391
BaseRepresentation
bin11001001001100110100101…
…00111101100110011101000
321020211011020122121211221010
430210303102213230303220
524222111212311311200
6313343002204143520
714435456436665514
oct1444632247546350
9236734218554833
1055305532525800
1116692a43331417
1262526bab37ba0
1324b239b8a733b
14d92b32bb5144
1565d9555d7150
hex324cd29ecce8

55305532525800 has 96 divisors (see below), whose sum is σ = 173795742074880. Its totient is φ = 14546112652800.

The previous prime is 55305532525781. The next prime is 55305532525811. The reversal of 55305532525800 is 852523550355.

55305532525800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 55305532525800.

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, 631297896 + ... + 631385495.

It is an arithmetic number, because the mean of its divisors is an integer number (1810372313280).

Almost surely, 255305532525800 is an apocalyptic number.

55305532525800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55305532525800 is an abundant number, since it is smaller than the sum of its proper divisors (118490209549080).

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

55305532525800 is a wasteful number, since it uses less digits than its factorization.

55305532525800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262683483 (or 1262683474 counting only the distinct ones).

The product of its (nonzero) digits is 4500000, while the sum is 48.

The spelling of 55305532525800 in words is "fifty-five trillion, three hundred five billion, five hundred thirty-two million, five hundred twenty-five thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 73 75 100 120 146 150 200 219 292 300 365 438 584 600 730 876 1095 1460 1752 1825 2190 2920 3650 4380 5475 7300 8760 10950 14600 21900 43800 1262683391 2525366782 3788050173 5050733564 6313416955 7576100346 10101467128 12626833910 15152200692 18940250865 25253667820 30304401384 31567084775 37880501730 50507335640 63134169550 75761003460 92175887543 94701254325 126268339100 151522006920 184351775086 189402508650 252536678200 276527662629 368703550172 378805017300 460879437715 553055325258 737407100344 757610034600 921758875430 1106110650516 1382638313145 1843517750860 2212221301032 2304397188575 2765276626290 3687035501720 4608794377150 5530553252580 6913191565725 9217588754300 11061106505160 13826383131450 18435177508600 27652766262900 55305532525800