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54684371665 = 574111724359
BaseRepresentation
bin110010111011011100…
…010100101011010001
312020011001021220111201
4302323130110223101
51343443144343130
641042135511201
73644062330000
oct627334245321
9166131256451
1054684371665
11212119a18a0
12a721828501
1352063bb191
14290a910c37
151650c51bca
hexcbb714ad1

54684371665 has 80 divisors (see below), whose sum is σ = 88429138560. Its totient is φ = 32082408960.

The previous prime is 54684371629. The next prime is 54684371689. The reversal of 54684371665 is 56617348645.

It is a happy number.

It is not a de Polignac number, because 54684371665 - 27 = 54684371537 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2232756 + ... + 2257114.

It is an arithmetic number, because the mean of its divisors is an integer number (1105364232).

Almost surely, 254684371665 is an apocalyptic number.

54684371665 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54684371665 is a deficient number, since it is larger than the sum of its proper divisors (33744766895).

54684371665 is a wasteful number, since it uses less digits than its factorization.

54684371665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24420 (or 24399 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 55.

The spelling of 54684371665 in words is "fifty-four billion, six hundred eighty-four million, three hundred seventy-one thousand, six hundred sixty-five".

Divisors: 1 5 7 11 17 35 49 55 77 85 119 187 245 343 385 539 595 833 935 1309 1715 2401 2695 3773 4165 5831 6545 9163 12005 18865 24359 26411 29155 40817 45815 64141 121795 132055 170513 204085 267949 320705 414103 448987 852565 1193591 1339745 1875643 2070515 2244935 2898721 4555133 5967955 8355137 9378215 13129501 14493605 20291047 22775665 31885931 41775685 58485959 65647505 91906507 101455235 142037329 159429655 223201517 292429795 459532535 643345549 710186645 994261303 1116007585 1562410619 3216727745 4971306515 7812053095 10936874333 54684371665