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5450221322400 = 253523177163803
BaseRepresentation
bin100111101001111101010…
…0000011000000010100000
3201022000222021222000021210
41033103322200120002200
51203244023124304100
615331444101550120
71101523364600541
oct117237240300240
921260867860253
105450221322400
111811475938788
12740358115340
13306c5228390a
1414bb1380c4c8
1596b8d12bc50
hex4f4fa8180a0

5450221322400 has 144 divisors (see below), whose sum is σ = 17796436517664. Its totient is φ = 1448807316480.

The previous prime is 5450221322383. The next prime is 5450221322473. The reversal of 5450221322400 is 42231220545.

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, 2821102 + ... + 4342701.

It is an arithmetic number, because the mean of its divisors is an integer number (123586364706).

Almost surely, 25450221322400 is an apocalyptic number.

5450221322400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5450221322400 is an abundant number, since it is smaller than the sum of its proper divisors (12346215195264).

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

5450221322400 is a wasteful number, since it uses less digits than its factorization.

5450221322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7164143 (or 7164130 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 5450221322400 its reverse (42231220545), we get a palindrome (5492452542945).

The spelling of 5450221322400 in words is "five trillion, four hundred fifty billion, two hundred twenty-one million, three hundred twenty-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 317 400 480 600 634 800 951 1200 1268 1585 1902 2400 2536 3170 3804 4755 5072 6340 7608 7925 9510 10144 12680 15216 15850 19020 23775 25360 30432 31700 38040 47550 50720 63400 76080 95100 126800 152160 190200 253600 380400 760800 7163803 14327606 21491409 28655212 35819015 42982818 57310424 71638030 85965636 107457045 114620848 143276060 171931272 179095075 214914090 229241696 286552120 343862544 358190150 429828180 537285225 573104240 687725088 716380300 859656360 1074570450 1146208480 1432760600 1719312720 2149140900 2270925551 2865521200 3438625440 4298281800 4541851102 5731042400 6812776653 8596563600 9083702204 11354627755 13625553306 17193127200 18167404408 22709255510 27251106612 34063883265 36334808816 45418511020 54502213224 56773138775 68127766530 72669617632 90837022040 109004426448 113546277550 136255533060 170319416325 181674044080 218008852896 227092555100 272511066120 340638832650 363348088160 454185110200 545022132240 681277665300 908370220400 1090044264480 1362555330600 1816740440800 2725110661200 5450221322400