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54234451406875 = 547910912797879
BaseRepresentation
bin11000101010011011100010…
…01101011111000000011011
321010000202121011112110012211
430111031301031133000123
524102034124030010000
6311202544002415551
714265211156462555
oct1425156115370033
9233022534473184
1054234451406875
111630a779a25843
1260bb0000615b7
1324353961c451c
14d56d663304d5
15640b688a87ba
hex31537135f01b

54234451406875 has 80 divisors (see below), whose sum is σ = 69321809920000. Its totient is φ = 42406769808000.

The previous prime is 54234451406797. The next prime is 54234451406879. The reversal of 54234451406875 is 57860415443245.

It is a happy number.

54234451406875 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 54234451406875 - 217 = 54234451275803 is a prime.

It is not an unprimeable number, because it can be changed into a prime (54234451406879) 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 79 ways as a sum of consecutive naturals, for example, 6883414186 + ... + 6883422064.

It is an arithmetic number, because the mean of its divisors is an integer number (866522624000).

Almost surely, 254234451406875 is an apocalyptic number.

54234451406875 is a deficient number, since it is larger than the sum of its proper divisors (15087358513125).

54234451406875 is a wasteful number, since it uses less digits than its factorization.

54234451406875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9366 (or 9351 counting only the distinct ones).

The product of its (nonzero) digits is 64512000, while the sum is 58.

The spelling of 54234451406875 in words is "fifty-four trillion, two hundred thirty-four billion, four hundred fifty-one million, four hundred six thousand, eight hundred seventy-five".

Divisors: 1 5 25 79 109 125 395 545 625 1279 1975 2725 6395 7879 8611 9875 13625 31975 39395 43055 49375 68125 101041 139411 159875 196975 215275 505205 622441 697055 799375 858811 984875 1076375 2526025 3112205 3485275 4294055 4924375 5381875 10077241 11013469 12630125 15561025 17426375 21470275 50386205 55067345 63150625 67846069 77805125 87131875 107351375 251931025 275336725 339230345 389025625 536756875 796102039 1098419269 1259655125 1376683625 1696151725 3980510195 5492096345 6298275625 6883418125 8480758625 19902550975 27460481725 42403793125 86775122251 99512754875 137302408625 433875611255 497563774375 686512043125 2169378056275 10846890281375 54234451406875