Search a number
-
+
55406412300 = 22352863214007
BaseRepresentation
bin110011100110011110…
…101100001000001100
312022000100221101001110
4303212132230020030
51401433020143200
641241531412020
74001010506511
oct634636541014
9168010841043
1055406412300
1121552525698
12a8a35b4010
1352bcb76765
142978785308
151694329b50
hexce67ac20c

55406412300 has 72 divisors (see below), whose sum is σ = 160495727616. Its totient is φ = 14757853760.

The previous prime is 55406412263. The next prime is 55406412323. The reversal of 55406412300 is 321460455.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151897 + ... + 365903.

It is an arithmetic number, because the mean of its divisors is an integer number (2229107328).

Almost surely, 255406412300 is an apocalyptic number.

55406412300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55406412300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80247863808).

55406412300 is an abundant number, since it is smaller than the sum of its proper divisors (105089315316).

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

55406412300 is a wasteful number, since it uses less digits than its factorization.

55406412300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214887 (or 214880 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 55406412300 its reverse (321460455), we get a palindrome (55727872755).

The spelling of 55406412300 in words is "fifty-five billion, four hundred six million, four hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 863 1726 2589 3452 4315 5178 8630 10356 12945 17260 21575 25890 43150 51780 64725 86300 129450 214007 258900 428014 642021 856028 1070035 1284042 2140070 2568084 3210105 4280140 5350175 6420210 10700350 12840420 16050525 21400700 32101050 64202100 184688041 369376082 554064123 738752164 923440205 1108128246 1846880410 2216256492 2770320615 3693760820 4617201025 5540641230 9234402050 11081282460 13851603075 18468804100 27703206150 55406412300