Search a number
-
+
550304296800 = 253521931188049
BaseRepresentation
bin10000000001000001011…
…00010010111101100000
31221121102122121202121020
420000200230102331200
533004010344444200
61100450054525440
754521024225646
oct10004054227540
91847378552536
10550304296800
111a242347a205
128a79b966880
133cb7cc6127b
141c8c6125196
15e4ac084ea0
hex8020b12f60

550304296800 has 144 divisors (see below), whose sum is σ = 1800523040400. Its totient is φ = 145987338240.

The previous prime is 550304296783. The next prime is 550304296807. The reversal of 550304296800 is 8692403055.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (550304296807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130825 + ... + 1057224.

It is an arithmetic number, because the mean of its divisors is an integer number (12503632225).

Almost surely, 2550304296800 is an apocalyptic number.

550304296800 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 550304296800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900261520200).

550304296800 is an abundant number, since it is smaller than the sum of its proper divisors (1250218743600).

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

550304296800 is a wasteful number, since it uses less digits than its factorization.

550304296800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188265 (or 1188252 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

Adding to 550304296800 its reverse (8692403055), we get a palindrome (558996699855).

The spelling of 550304296800 in words is "five hundred fifty billion, three hundred four million, two hundred ninety-six thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 193 200 240 300 386 400 480 579 600 772 800 965 1158 1200 1544 1930 2316 2400 2895 3088 3860 4632 4825 5790 6176 7720 9264 9650 11580 14475 15440 18528 19300 23160 28950 30880 38600 46320 57900 77200 92640 115800 154400 231600 463200 1188049 2376098 3564147 4752196 5940245 7128294 9504392 11880490 14256588 17820735 19008784 23760980 28513176 29701225 35641470 38017568 47521960 57026352 59402450 71282940 89103675 95043920 114052704 118804900 142565880 178207350 190087840 229293457 237609800 285131760 356414700 458586914 475219600 570263520 687880371 712829400 917173828 950439200 1146467285 1375760742 1425658800 1834347656 2292934570 2751521484 2851317600 3439401855 3668695312 4585869140 5503042968 5732336425 6878803710 7337390624 9171738280 11006085936 11464672850 13757607420 17197009275 18343476560 22012171872 22929345700 27515214840 34394018550 36686953120 45858691400 55030429680 68788037100 91717382800 110060859360 137576074200 183434765600 275152148400 550304296800