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54256355365245 = 35116729207168037
BaseRepresentation
bin11000101011000100010101…
…10010011101000101111101
321010002212010200200211100020
430111202022302131011331
524102414003433141440
6311221005304322353
714266615031163525
oct1425421262350575
9233085120624306
1054256355365245
1116318a9a163980
1261032b37733b9
13243747718a637
14d58043430685
156414eb8653d0
hex31588ac9d17d

54256355365245 has 64 divisors (see below), whose sum is σ = 96119327655936. Its totient is φ = 25912441716480.

The previous prime is 54256355365241. The next prime is 54256355365249.

It is a happy number.

54256355365245 is nontrivially palindromic in base 10.

54256355365245 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54256355365241) and next prime (54256355365249).

It is not a de Polignac number, because 54256355365245 - 22 = 54256355365241 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54256355365241) 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, 322799367 + ... + 322967403.

It is an arithmetic number, because the mean of its divisors is an integer number (1501864494624).

Almost surely, 254256355365245 is an apocalyptic number.

54256355365245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54256355365245 is a deficient number, since it is larger than the sum of its proper divisors (41862972290691).

54256355365245 is a wasteful number, since it uses less digits than its factorization.

54256355365245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197330.

The product of its digits is 324000000, while the sum is 60.

The spelling of 54256355365245 in words is "fifty-four trillion, two hundred fifty-six billion, three hundred fifty-five million, three hundred sixty-five thousand, two hundred forty-five".

Divisors: 1 3 5 11 15 33 55 67 165 201 335 737 1005 2211 3685 11055 29207 87621 146035 168037 321277 438105 504111 840185 963831 1606385 1848407 1956869 2520555 4819155 5545221 5870607 9242035 9784345 11258479 21525559 27726105 29353035 33775437 56292395 64576677 107627795 123843269 168877185 322883385 371529807 619216345 1857649035 4907856659 14723569977 24539283295 53986423249 73617849885 161959269747 269932116245 328826396153 809796348735 986479188459 1644131980765 3617090357683 4932395942295 10851271073049 18085451788415 54256355365245