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12978785727225 = 335247715762011
BaseRepresentation
bin1011110011011101101111…
…1010011011001011111001
31200221202111220002210221000
42330313123322123023321
53200121023121232400
643334212153035213
72506454260302543
oct274673372331371
950852456083830
1012978785727225
1141542aa20665a
1215574610b5b09
13731b8185c9a6
1432c268776693
1517791c011600
hexbcddbe9b2f9

12978785727225 has 96 divisors (see below), whose sum is σ = 24692756705280. Its totient is φ = 6679321992000.

The previous prime is 12978785727143. The next prime is 12978785727247. The reversal of 12978785727225 is 52272758787921.

12978785727225 is a `hidden beast` number, since 1 + 29 + 7 + 8 + 7 + 8 + 572 + 7 + 2 + 25 = 666.

It is not a de Polignac number, because 12978785727225 - 27 = 12978785727097 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 628531 + ... + 5133480.

It is an arithmetic number, because the mean of its divisors is an integer number (257216215680).

Almost surely, 212978785727225 is an apocalyptic number.

12978785727225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12978785727225 is a deficient number, since it is larger than the sum of its proper divisors (11713970978055).

12978785727225 is a wasteful number, since it uses less digits than its factorization.

12978785727225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5762148 (or 5762137 counting only the distinct ones).

The product of its digits is 553190400, while the sum is 72.

The spelling of 12978785727225 in words is "twelve trillion, nine hundred seventy-eight billion, seven hundred eighty-five million, seven hundred twenty-seven thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 47 71 75 135 141 213 225 235 355 423 639 675 705 1065 1175 1269 1775 1917 2115 3195 3337 3525 5325 6345 9585 10011 10575 15975 16685 30033 31725 47925 50055 83425 90099 150165 250275 450495 750825 2252475 5762011 17286033 28810055 51858099 86430165 144050275 155574297 259290495 270814517 409102781 432150825 777871485 812443551 1227308343 1296452475 1354072585 2045513905 2437330653 3681925029 3889357425 4062217755 6136541715 6770362925 7311991959 10227569525 11045775087 12186653265 18409625145 19227830707 20311088775 30682708575 36559959795 55228875435 57683492121 60933266325 92048125725 96139153535 173050476363 182799798975 276144377175 288417460605 480695767675 519151429089 865252381815 1442087303025 2595757145445 4326261909075 12978785727225