Search a number
-
+
54000208204900 = 22524161132154553
BaseRepresentation
bin11000100011100111001110…
…01110100101010001100100
321002012100222100121212111121
430101303213032211101210
524034214411300024100
6310503204141543324
714242246333223506
oct1421634716452144
9232170870555447
1054000208204900
111622a3a5827121
126081728574b44
1324192756b9479
14d498a4463d76
15639a0904551a
hex311ce73a5464

54000208204900 has 72 divisors (see below), whose sum is σ = 120058203923784. Its totient is φ = 21069794918400.

The previous prime is 54000208204861. The next prime is 54000208204927. The reversal of 54000208204900 is 940280200045.

It can be written as a sum of positive squares in 12 ways, for example, as 45168803159076 + 8831405045824 = 6720774^2 + 2971768^2 .

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, 23986024 + ... + 26140576.

It is an arithmetic number, because the mean of its divisors is an integer number (1667475054497).

Almost surely, 254000208204900 is an apocalyptic number.

54000208204900 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 54000208204900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60029101961892).

54000208204900 is an abundant number, since it is smaller than the sum of its proper divisors (66057995718884).

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

54000208204900 is a wasteful number, since it uses less digits than its factorization.

54000208204900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2160721 (or 2160714 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

Adding to 54000208204900 its reverse (940280200045), we get a palindrome (54940488404945).

The spelling of 54000208204900 in words is "fifty-four trillion, two hundred eight million, two hundred four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 6113 12226 24452 30565 61130 122260 152825 250633 305650 501266 611300 1002532 1253165 2154553 2506330 4309106 5012660 6265825 8618212 10772765 12531650 21545530 25063300 43091060 53863825 88336673 107727650 176673346 215455300 353346692 441683365 883366730 1766733460 2208416825 4416833650 8833667300 13170782489 26341564978 52683129956 65853912445 131707824890 263415649780 329269562225 540002082049 658539124450 1080004164098 1317078248900 2160008328196 2700010410245 5400020820490 10800041640980 13500052051225 27000104102450 54000208204900