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54283625716385 = 51317521569165713
BaseRepresentation
bin11000101011110111001000…
…01110100101101010100001
321010012110112012200012102102
430111323210032211222201
524103340331140411020
6311241315310500145
714301601564302452
oct1425734416455241
9233173465605372
1054283625716385
111632961360035a
126108644504655
132439c01b87aa0
14d594ad129129
156420959ee475
hex315ee43a5aa1

54283625716385 has 64 divisors (see below), whose sum is σ = 74551493862720. Its totient is φ = 37589526773760.

The previous prime is 54283625716279. The next prime is 54283625716391. The reversal of 54283625716385 is 58361752638245.

It is a happy number.

54283625716385 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 32 ways, for example, as 29273304651361 + 25010321065024 = 5410481^2 + 5001032^2 .

It is not a de Polignac number, because 54283625716385 - 220 = 54283624667809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is a Curzon number.

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, 327493289 + ... + 327659001.

It is an arithmetic number, because the mean of its divisors is an integer number (1164867091605).

Almost surely, 254283625716385 is an apocalyptic number.

It is an amenable number.

54283625716385 is a deficient number, since it is larger than the sum of its proper divisors (20267868146335).

54283625716385 is a wasteful number, since it uses less digits than its factorization.

54283625716385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166838.

The product of its digits is 290304000, while the sum is 65.

The spelling of 54283625716385 in words is "fifty-four trillion, two hundred eighty-three billion, six hundred twenty-five million, seven hundred sixteen thousand, three hundred eighty-five".

Divisors: 1 5 13 17 65 85 221 521 569 1105 2605 2845 6773 7397 8857 9673 33865 36985 44285 48365 115141 125749 165713 296449 575705 628745 828565 1482245 2154269 2817121 3853837 5039633 10771345 14085605 19269185 25198165 36622573 65515229 86336473 94290697 183112865 327576145 431682365 471453485 1122374149 1225779061 1467720041 1602941849 5611870745 6128895305 7338600205 8014709245 19080360533 20838244037 49125453137 95401802665 104191220185 245627265685 638630890781 835132703329 3193154453905 4175663516645 10856725143277 54283625716385