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54034466443045 = 51111313962548217
BaseRepresentation
bin11000100100100111000010…
…01011011000111100100101
321002022122101212112200110121
430102103201023120330211
524040300041402134140
6310531031410521541
714244601310362024
oct1422234113307445
9232278355480417
1054034466443045
11162429856a4530
1260882a95962b1
13241c57503b2ba
14d4b3d42448bb
1563a86190464a
hex3124e12d8f25

54034466443045 has 32 divisors (see below), whose sum is σ = 71875408268160. Its totient is φ = 38669809059840.

The previous prime is 54034466442937. The next prime is 54034466443079.

It is a happy number.

54034466443045 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54034466443045 - 237 = 53897027489573 is a prime.

It is a super-3 number, since 3×540344664430453 (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54034466442983 and 54034466443001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30410224 + ... + 32137993.

It is an arithmetic number, because the mean of its divisors is an integer number (2246106508380).

Almost surely, 254034466443045 is an apocalyptic number.

54034466443045 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54034466443045 is a deficient number, since it is larger than the sum of its proper divisors (17840941825115).

54034466443045 is a wasteful number, since it uses less digits than its factorization.

54034466443045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62548485.

The product of its (nonzero) digits is 33177600, while the sum is 52.

The spelling of 54034466443045 in words is "fifty-four trillion, thirty-four billion, four hundred sixty-six million, four hundred forty-three thousand, forty-five".

Divisors: 1 5 11 55 113 139 565 695 1243 1529 6215 7645 15707 78535 172777 863885 62548217 312741085 688030387 3440151935 7067948521 8694202163 35339742605 43471010815 77747433731 95636223793 388737168655 478181118965 982444844419 4912224222095 10806893288609 54034466443045