Search a number
-
+
54124620543300 = 22352829429750647
BaseRepresentation
bin11000100111001110111101…
…10001111111010101000100
321002122021002212101111101210
430103213132301333111010
524043234210324341200
6311040301334051420
714254242360523326
oct1423473661772504
9232567085344353
1054124620543300
11162781392a83aa
1260a1869aa9b70
132427c11a66858
14d519077b7616
1563cd8b570650
hex3139dec7f544

54124620543300 has 144 divisors (see below), whose sum is σ = 156829056325760. Its totient is φ = 14412182307840.

The previous prime is 54124620543247. The next prime is 54124620543359. The reversal of 54124620543300 is 334502642145.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1068638577 + ... + 1068689223.

Almost surely, 254124620543300 is an apocalyptic number.

54124620543300 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 54124620543300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78414528162880).

54124620543300 is an abundant number, since it is smaller than the sum of its proper divisors (102704435782460).

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

54124620543300 is a wasteful number, since it uses less digits than its factorization.

54124620543300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55790 (or 55783 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

The spelling of 54124620543300 in words is "fifty-four trillion, one hundred twenty-four billion, six hundred twenty million, five hundred forty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 829 1658 2487 3316 4145 4297 4974 8290 8594 9948 12435 12891 16580 17188 20725 21485 24870 25782 41450 42970 49740 50647 51564 62175 64455 82900 85940 101294 107425 124350 128910 151941 202588 214850 248700 253235 257820 303882 322275 429700 506470 607764 644550 759705 1012940 1266175 1289100 1519410 2532350 3038820 3562213 3798525 5064700 7124426 7597050 10686639 14248852 15194100 17811065 21373278 35622130 41986363 42746556 53433195 71244260 83972726 89055325 106866390 125959089 167945452 178110650 209931815 213732780 217630159 251918178 267165975 356221300 419863630 435260318 503836356 534331950 629795445 652890477 839727260 870520636 1049659075 1068663900 1088150795 1259590890 1305780954 2099318150 2176301590 2519181780 2611561908 3148977225 3264452385 4198636300 4352603180 5440753975 6297954450 6528904770 10881507950 12595908900 13057809540 16322261925 21763015900 32644523850 65289047700 180415401811 360830803622 541246205433 721661607244 902077009055 1082492410866 1804154018110 2164984821732 2706231027165 3608308036220 4510385045275 5412462054330 9020770090550 10824924108660 13531155135825 18041540181100 27062310271650 54124620543300