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54351451046145 = 35111784232300443
BaseRepresentation
bin11000101101110101011101…
…11011101100000100000001
321010102221121001222221112210
430112322232323230010001
524110443232431434040
6311332413435012333
714306522424140601
oct1426725673540401
9233387531887483
1054351451046145
11163553591a34a0
126119812b9a0a9
1324434208cc0c6
14d5c8a4db8c01
15643c15248480
hex316eaeeec101

54351451046145 has 64 divisors (see below), whose sum is σ = 100460426287104. Its totient is φ = 24799132830720.

The previous prime is 54351451046119. The next prime is 54351451046159. The reversal of 54351451046145 is 54164015415345.

54351451046145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 54351451046145 - 214 = 54351451029761 is a prime.

It is a super-2 number, since 2×543514510461452 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54351451046094 and 54351451046103.

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 63 ways as a sum of consecutive naturals, for example, 22476294 + ... + 24776736.

It is an arithmetic number, because the mean of its divisors is an integer number (1569694160736).

Almost surely, 254351451046145 is an apocalyptic number.

54351451046145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54351451046145 is a deficient number, since it is larger than the sum of its proper divisors (46108975240959).

54351451046145 is a wasteful number, since it uses less digits than its factorization.

54351451046145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2308902.

The product of its (nonzero) digits is 2880000, while the sum is 48.

The spelling of 54351451046145 in words is "fifty-four trillion, three hundred fifty-one billion, four hundred fifty-one million, forty-six thousand, one hundred forty-five".

Divisors: 1 3 5 11 15 17 33 51 55 85 165 187 255 561 935 2805 8423 25269 42115 92653 126345 143191 277959 429573 463265 715955 1389795 1575101 2147865 2300443 4725303 6901329 7875505 11502215 23626515 25304873 34506645 39107531 75914619 117322593 126524365 195537655 379573095 430182841 586612965 1290548523 2150914205 6452742615 19376631389 58129894167 96883156945 213142945279 290649470835 329402733613 639428835837 988208200839 1065714726395 1647013668065 3197144179185 3623430069743 4941041004195 10870290209229 18117150348715 54351451046145