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54001052513205 = 35759103481717569
BaseRepresentation
bin11000100011101000110011…
…00011010111001110110101
321002012110011012100011202120
430101310121203113032311
524034223123420410310
6310503424022230153
714242306264560660
oct1421643143271665
9232173135304676
1054001052513205
111622a799380486
126081923285359
13241937b5b3b95
14d499446446d7
15639a58220b70
hex311d198d73b5

54001052513205 has 128 divisors (see below), whose sum is σ = 101420179660800. Its totient is φ = 24025819152384.

The previous prime is 54001052513203. The next prime is 54001052513237. The reversal of 54001052513205 is 50231525010045.

It is not a de Polignac number, because 54001052513205 - 21 = 54001052513203 is a prime.

It is a super-2 number, since 2×540010525132052 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54001052513203) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3073646661 + ... + 3073664229.

It is an arithmetic number, because the mean of its divisors is an integer number (792345153600).

Almost surely, 254001052513205 is an apocalyptic number.

It is an amenable number.

54001052513205 is a deficient number, since it is larger than the sum of its proper divisors (47419127147595).

54001052513205 is a wasteful number, since it uses less digits than its factorization.

54001052513205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22563.

The product of its (nonzero) digits is 30000, while the sum is 33.

The spelling of 54001052513205 in words is "fifty-four trillion, one billion, fifty-two million, five hundred thirteen thousand, two hundred five".

Divisors: 1 3 5 7 15 21 35 59 103 105 177 295 309 413 515 721 885 1239 1545 2065 2163 3605 4817 6077 6195 10815 14451 17569 18231 24085 30385 33719 42539 52707 72255 87845 91155 101157 122983 127617 168595 212695 263535 284203 368949 496151 505785 614915 638085 852609 1036571 1421015 1488453 1809607 1844745 1989421 2480755 3109713 3473057 4263045 5182855 5428821 5968263 7255997 7442265 9048035 9947105 10419171 12667249 15548565 17365285 21767991 27144105 29272909 29841315 36279985 38001747 52095855 63336245 84629873 87818727 106766813 108839955 146364545 190008735 204910363 253889619 320300439 423149365 439093635 533834065 592409111 614731089 747367691 1024551815 1269448095 1601502195 1777227333 2242103073 2962045555 3073655445 3736838455 4993162507 8716876919 8886136665 11210515365 14979487521 24965812535 26150630757 34952137549 43584384595 61018138433 74897437605 104856412647 130753153785 174760687745 183054415299 305090692165 514295738221 524282063235 915272076495 1542887214663 2571478691105 3600070167547 7714436073315 10800210502641 18000350837735 54001052513205