Search a number
-
+
50421210114400 = 2552591759607303
BaseRepresentation
bin10110111011011100110100…
…10100010110100101100000
320121112012221211022002021021
423131232122110112211200
523102100114242130100
6255123103435535224
713422545406341266
oct1335563224264540
9217465854262237
1050421210114400
111507a5736a4354
1257a3b752ba514
132219913362068
14c64584696436
155c688865ba1a
hex2ddb9a516960

50421210114400 has 144 divisors (see below), whose sum is σ = 125248433587200. Its totient is φ = 19815341160960.

The previous prime is 50421210114313. The next prime is 50421210114409. The reversal of 50421210114400 is 441101212405.

50421210114400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×504212101144002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50421210114409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82721149 + ... + 83328451.

It is an arithmetic number, because the mean of its divisors is an integer number (869780788800).

Almost surely, 250421210114400 is an apocalyptic number.

50421210114400 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 50421210114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62624216793600).

50421210114400 is an abundant number, since it is smaller than the sum of its proper divisors (74827223472800).

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

50421210114400 is a wasteful number, since it uses less digits than its factorization.

50421210114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609141 (or 609128 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 50421210114400 its reverse (441101212405), we get a palindrome (50862311326805).

The spelling of 50421210114400 in words is "fifty trillion, four hundred twenty-one billion, two hundred ten million, one hundred fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 59 80 100 118 160 200 236 295 400 472 590 800 944 1180 1475 1759 1888 2360 2950 3518 4720 5900 7036 8795 9440 11800 14072 17590 23600 28144 35180 43975 47200 56288 70360 87950 103781 140720 175900 207562 281440 351800 415124 518905 607303 703600 830248 1037810 1214606 1407200 1660496 2075620 2429212 2594525 3036515 3320992 4151240 4858424 5189050 6073030 8302480 9716848 10378100 12146060 15182575 16604960 19433696 20756200 24292120 30365150 35830877 41512400 48584240 60730300 71661754 83024800 97168480 121460600 143323508 179154385 242921200 286647016 358308770 485842400 573294032 716617540 895771925 1068245977 1146588064 1433235080 1791543850 2136491954 2866470160 3583087700 4272983908 5341229885 5732940320 7166175400 8545967816 10682459770 14332350800 17091935632 21364919540 26706149425 28664701600 34183871264 42729839080 53412298850 63026512643 85459678160 106824597700 126053025286 170919356320 213649195400 252106050572 315132563215 427298390800 504212101144 630265126430 854596781600 1008424202288 1260530252860 1575662816075 2016848404576 2521060505720 3151325632150 5042121011440 6302651264300 10084242022880 12605302528600 25210605057200 50421210114400