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12725571120480 = 253258837202167
BaseRepresentation
bin1011100100101110011100…
…1001010110110101100000
31200001112220221011000100200
42321023213021112311200
53131443432201323410
643022014025145200
72452251341535501
oct271134711266540
950045827130320
1012725571120480
114066980162819
12151637402b200
137140297b993a
1431dcc7056ba8
1517104bdb13c0
hexb92e7256d60

12725571120480 has 72 divisors (see below), whose sum is σ = 43426011453552. Its totient is φ = 3393485631744.

The previous prime is 12725571120467. The next prime is 12725571120481. The reversal of 12725571120480 is 8402117552721.

12725571120480 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 5 + 57 + 112 + 0 + 480 = 666.

12725571120480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12725571120481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4418599644 + ... + 4418602523.

It is an arithmetic number, because the mean of its divisors is an integer number (603139047966).

Almost surely, 212725571120480 is an apocalyptic number.

12725571120480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12725571120480 is an abundant number, since it is smaller than the sum of its proper divisors (30700440333072).

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

12725571120480 is a wasteful number, since it uses less digits than its factorization.

12725571120480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8837202188 (or 8837202177 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The spelling of 12725571120480 in words is "twelve trillion, seven hundred twenty-five billion, five hundred seventy-one million, one hundred twenty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 8837202167 17674404334 26511606501 35348808668 44186010835 53023213002 70697617336 79534819503 88372021670 106046426004 132558032505 141395234672 159069639006 176744043340 212092852008 265116065010 282790469344 318139278012 353488086680 397674097515 424185704016 530232130020 636278556024 706976173360 795348195030 848371408032 1060464260040 1272557112048 1413952346720 1590696390060 2120928520080 2545114224096 3181392780120 4241857040160 6362785560240 12725571120480