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54222534355212 = 22334128434307203
BaseRepresentation
bin11000101010000101010101…
…11001100010100100001100
321002222121211122111111121000
430111002222321202210030
524101340222243331322
6311153253254540300
714264306643301656
oct1425025271424414
9232877748444530
1054222534355212
1116305714079513
1260b8835067690
1324342172b3072
14d565557456d6
156406bc5703ac
hex3150aae6290c

54222534355212 has 96 divisors (see below), whose sum is σ = 144056332949760. Its totient is φ = 17627138040960.

The previous prime is 54222534355211. The next prime is 54222534355271. The reversal of 54222534355212 is 21255343522245.

54222534355212 is a `hidden beast` number, since 5 + 4 + 2 + 2 + 2 + 53 + 43 + 552 + 1 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (54222534355211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10435203 + ... + 14742405.

It is an arithmetic number, because the mean of its divisors is an integer number (1500586801560).

Almost surely, 254222534355212 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 54222534355212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72028166474880).

54222534355212 is an abundant number, since it is smaller than the sum of its proper divisors (89833798594548).

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

54222534355212 is a wasteful number, since it uses less digits than its factorization.

54222534355212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4310100 (or 4310092 counting only the distinct ones).

The product of its digits is 2880000, while the sum is 45.

Adding to 54222534355212 its reverse (21255343522245), we get a palindrome (75477877877457).

The spelling of 54222534355212 in words is "fifty-four trillion, two hundred twenty-two billion, five hundred thirty-four million, three hundred fifty-five thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 738 1107 1476 2214 2843 4428 5686 8529 11372 17058 25587 34116 51174 76761 102348 116563 153522 233126 307044 349689 466252 699378 1049067 1398756 2098134 3147201 4196268 4307203 6294402 8614406 12588804 12921609 17228812 25843218 38764827 51686436 77529654 116294481 155059308 176595323 232588962 353190646 465177924 529785969 706381292 1059571938 1589357907 2119143876 3178715814 4768073721 6357431628 9536147442 12245378129 19072294884 24490756258 36736134387 48981512516 73472268774 110208403161 146944537548 220416806322 330625209483 440833612644 502060503289 661250418966 1004121006578 1322500837932 1506181509867 2008242013156 3012363019734 4518544529601 6024726039468 9037089059202 13555633588803 18074178118404 27111267177606 54222534355212