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54761377316745 = 35114325131199859
BaseRepresentation
bin11000111001110001000000…
…11100010011111110001001
321011220010200112121002221110
430130320200130103332021
524134202300043113440
6312245010205400533
714351243660015211
oct1434704034237611
9234803615532843
1054761377316745
11164a3195961910
126185156569149
132472c8b881738
14d746715cb241
1564e7082d9080
hex31ce20713f89

54761377316745 has 128 divisors (see below), whose sum is σ = 98237480140800. Its totient is φ = 25819284960000.

The previous prime is 54761377316743. The next prime is 54761377316759.

54761377316745 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54761377316745 - 21 = 54761377316743 is a prime.

It is not an unprimeable number, because it can be changed into a prime (54761377316743) 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, 5554450626 + ... + 5554460484.

It is an arithmetic number, because the mean of its divisors is an integer number (767480313600).

Almost surely, 254761377316745 is an apocalyptic number.

54761377316745 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54761377316745 is a deficient number, since it is larger than the sum of its proper divisors (43476102824055).

54761377316745 is a wasteful number, since it uses less digits than its factorization.

54761377316745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13291.

The product of its digits is 311169600, while the sum is 66.

The spelling of 54761377316745 in words is "fifty-four trillion, seven hundred sixty-one billion, three hundred seventy-seven million, three hundred sixteen thousand, seven hundred forty-five".

Divisors: 1 3 5 11 15 33 43 55 129 165 215 251 473 645 753 1255 1419 2365 2761 3119 3765 7095 8283 9357 9859 10793 13805 15595 29577 32379 34309 41415 46785 49295 53965 102927 108449 118723 134117 147885 161895 171545 325347 356169 402351 423937 514635 542245 593615 670585 782869 1271811 1475287 1626735 1780845 2011755 2119685 2348607 2474609 3914345 4425861 4663307 6359055 7376435 7423827 8611559 11743035 12373045 13989921 22129305 23316535 25834677 27220699 30750221 33663367 37119135 43057795 69949605 81662097 92250663 100990101 106408187 129173385 136103495 153751105 168316835 319224561 338252431 370297037 408310485 461253315 504950505 532040935 1014757293 1110891111 1170490057 1322259503 1596122805 1691262155 1851485185 3511470171 3966778509 5073786465 5554455555 5852450285 6611297515 7718305471 14544854533 17557350855 19833892545 23154916413 38591527355 43634563599 72724272665 84901360181 115774582065 218172817995 254704080543 331887135253 424506800905 995661405759 1273520402715 1659435676265 3650758487783 4978307028795 10952275463349 18253792438915 54761377316745