Search a number
-
+
5052321434400 = 2535219181109751
BaseRepresentation
bin100100110000101010111…
…0100110000101100100000
3122212222220222010101100220
41021201111310300230200
51130234123241400100
614425000542243040
71031006143421202
oct111412564605440
918788828111326
105052321434400
11167874a810639
12697210286480
132a857ca723c6
14136768524772
158b650cbdaa0
hex49855d30b20

5052321434400 has 144 divisors (see below), whose sum is σ = 16446313493568. Its totient is φ = 1347203200000.

The previous prime is 5052321434323. The next prime is 5052321434411. The reversal of 5052321434400 is 44341232505.

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, 45979525 + ... + 46089275.

It is an arithmetic number, because the mean of its divisors is an integer number (114210510372).

Almost surely, 25052321434400 is an apocalyptic number.

5052321434400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5052321434400 is an abundant number, since it is smaller than the sum of its proper divisors (11393992059168).

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

5052321434400 is a wasteful number, since it uses less digits than its factorization.

5052321434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128955 (or 128942 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

Adding to 5052321434400 its reverse (44341232505), we get a palindrome (5096662666905).

The spelling of 5052321434400 in words is "five trillion, fifty-two billion, three hundred twenty-one million, four hundred thirty-four 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 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 19181 38362 57543 76724 95905 109751 115086 153448 191810 219502 230172 287715 306896 329253 383620 439004 460344 479525 548755 575430 613792 658506 767240 878008 920688 959050 1097510 1150860 1317012 1438575 1534480 1646265 1756016 1841376 1918100 2195020 2301720 2634024 2743775 2877150 3068960 3292530 3512032 3836200 4390040 4603440 5268048 5487550 5754300 6585060 7672400 8231325 8780080 9206880 10536096 10975100 11508600 13170120 15344800 16462650 17560160 21950200 23017200 26340240 32925300 43900400 46034400 52680480 65850600 87800800 131701200 263402400 2105133931 4210267862 6315401793 8420535724 10525669655 12630803586 16841071448 21051339310 25261607172 31577008965 33682142896 42102678620 50523214344 52628348275 63154017930 67364285792 84205357240 101046428688 105256696550 126308035860 157885044825 168410714480 202092857376 210513393100 252616071720 315770089650 336821428960 421026786200 505232143440 631540179300 842053572400 1010464286880 1263080358600 1684107144800 2526160717200 5052321434400