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54613337672245 = 51159953109116187
BaseRepresentation
bin11000110101011101010001…
…00101111000101000110101
321011100222120101212222021011
430122232220211320220311
524124241103421002440
6312053004310152221
714334453263551132
oct1432565045705065
9234328511788234
1054613337672245
1116446428392880
126160520352671
1324620284a8861
14d6b42a335589
1564a94188a9ea
hex31aba8978a35

54613337672245 has 64 divisors (see below), whose sum is σ = 72853086458880. Its totient is φ = 38966461273600.

The previous prime is 54613337672239. The next prime is 54613337672249. The reversal of 54613337672245 is 54227673331645.

54613337672245 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 54613337672245 - 211 = 54613337670197 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 54613337672245.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54613337672249) 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 63 ways as a sum of consecutive naturals, for example, 3373893042 + ... + 3373909228.

It is an arithmetic number, because the mean of its divisors is an integer number (1138329475920).

Almost surely, 254613337672245 is an apocalyptic number.

54613337672245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54613337672245 is a deficient number, since it is larger than the sum of its proper divisors (18239748786635).

54613337672245 is a wasteful number, since it uses less digits than its factorization.

54613337672245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18306.

The product of its digits is 76204800, while the sum is 58.

The spelling of 54613337672245 in words is "fifty-four trillion, six hundred thirteen billion, three hundred thirty-seven million, six hundred seventy-two thousand, two hundred forty-five".

Divisors: 1 5 11 55 59 295 649 953 1091 3245 4765 5455 10483 12001 16187 52415 56227 60005 64369 80935 178057 281135 321845 618497 708059 890285 955033 1039723 3092485 3540295 4775165 5198615 10505363 11436953 15426211 17660017 52526815 57184765 61343657 77131055 88300085 169688321 194260187 306718285 674780227 848441605 910146449 971300935 1041941003 3373901135 4550732245 5209705015 10011610939 11461351033 16829996201 50058054695 57306755165 84149981005 185129958211 925649791055 992969775859 4964848879295 10922667534449 54613337672245