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54004442686750 = 2531723552475117
BaseRepresentation
bin11000100011101111000111…
…00111110110010100011110
321002012202220110112211120201
430101313203213312110132
524034302044311434000
6310505144245334114
714242456301560603
oct1421674347662436
9232182813484521
1054004442686750
1116231179004aa6
12608250a70733a
13241979ba7912a
14d49b869b46aa
15639ba5b8696a
hex311de39f651e

54004442686750 has 64 divisors (see below), whose sum is σ = 111697209456768. Its totient is φ = 19447124083200.

The previous prime is 54004442686693. The next prime is 54004442686811. The reversal of 54004442686750 is 5768624440045.

It is a junction number, because it is equal to n+sod(n) for n = 54004442686691 and 54004442686700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276139809 + ... + 276335308.

It is an arithmetic number, because the mean of its divisors is an integer number (1745268897762).

Almost surely, 254004442686750 is an apocalyptic number.

54004442686750 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

54004442686750 is an abundant number, since it is smaller than the sum of its proper divisors (57692766770018).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54004442686750 is a wasteful number, since it uses less digits than its factorization.

54004442686750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552475174 (or 552475164 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 55.

The spelling of 54004442686750 in words is "fifty-four trillion, four billion, four hundred forty-two million, six hundred eighty-six thousand, seven hundred fifty".

Divisors: 1 2 5 10 17 23 25 34 46 50 85 115 125 170 230 250 391 425 575 782 850 1150 1955 2125 2875 3910 4250 5750 9775 19550 48875 97750 552475117 1104950234 2762375585 5524751170 9392076989 12706927691 13811877925 18784153978 25413855382 27623755850 46960384945 63534638455 69059389625 93920769890 127069276910 138118779250 216017770747 234801924725 317673192275 432035541494 469603849450 635346384550 1080088853735 1174009623625 1588365961375 2160177707470 2348019247250 3176731922750 5400444268675 10800888537350 27002221343375 54004442686750