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54010522214420 = 225231573172359183
BaseRepresentation
bin11000100011111010011011…
…11111011010000000010100
321002020100121011020211201012
430101331031333122000110
524034402022141330140
6310512031422551352
714243063042654222
oct1421751577320024
9232210534224635
1054010522214420
1116233808814132
126083726738558
13241a22a46b295
14d4a1a21a5b12
15639e0e77d265
hex311f4dfda014

54010522214420 has 96 divisors (see below), whose sum is σ = 119483119623168. Its totient is φ = 20468489513472.

The previous prime is 54010522214417. The next prime is 54010522214449. The reversal of 54010522214420 is 2441222501045.

54010522214420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 21714149 + ... + 24073331.

It is an arithmetic number, because the mean of its divisors is an integer number (1244615829408).

Almost surely, 254010522214420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54010522214420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59741559811584).

54010522214420 is an abundant number, since it is smaller than the sum of its proper divisors (65472597408748).

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

54010522214420 is a wasteful number, since it uses less digits than its factorization.

54010522214420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2359689 (or 2359687 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 32.

Adding to 54010522214420 its reverse (2441222501045), we get a palindrome (56451744715465).

The spelling of 54010522214420 in words is "fifty-four trillion, ten billion, five hundred twenty-two million, two hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 157 230 314 317 460 628 634 785 1268 1570 1585 3140 3170 3611 6340 7222 7291 14444 14582 18055 29164 36110 36455 49769 72220 72910 99538 145820 199076 248845 497690 995380 1144687 2289374 2359183 4578748 4718366 5723435 9436732 11446870 11795915 22893740 23591830 47183660 54261209 108522418 217044836 271306045 370391731 542612090 740783462 747861011 1085224180 1481566924 1495722022 1851958655 2991444044 3703917310 3739305055 7407834620 7478610110 8519009813 14957220220 17038019626 17200803253 34076039252 34401606506 42595049065 68803213012 85190098130 86004016265 117414178727 170380196260 172008032530 234828357454 344016065060 469656714908 587070893635 1174141787270 2348283574540 2700526110721 5401052221442 10802104442884 13502630553605 27005261107210 54010522214420