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14682652922025 = 345211277412
BaseRepresentation
bin1101010110101001001001…
…0011111101000010101001
31220222122111022211111010000
43111222102103331002221
53411030033122001100
651121041224213213
73043533553425534
oct325522223750251
956878438744100
1014682652922025
114750972886900
12179171a90a209
138267505285ba
1438a903947a1b
151a6de20c0900
hexd5a924fd0a9

14682652922025 has 135 divisors (see below), whose sum is σ = 29898468770709. Its totient is φ = 7117942392000.

The previous prime is 14682652921939. The next prime is 14682652922029. The reversal of 14682652922025 is 52022925628641.

The square root of 14682652922025 is 3831795.

It is a perfect power (a square), and thus also a powerful number.

14682652922025 is a `hidden beast` number, since 1 + 468 + 2 + 6 + 52 + 92 + 20 + 25 = 666.

14682652922025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2856867311529 + 11825785610496 = 1690227^2 + 3438864^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 14682652922025 - 27 = 14682652921897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14682652922029) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1896734655 + ... + 1896742395.

Almost surely, 214682652922025 is an apocalyptic number.

14682652922025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14682652922025 is the 3831795-th square number.

14682652922025 is the 1915898-th centered octagonal number.

It is an amenable number.

14682652922025 is an abundant number, since it is smaller than the sum of its proper divisors (15215815848684).

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

14682652922025 is an frugal number, since it uses more digits than its factorization.

14682652922025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15526 (or 7760 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 14682652922025 in words is "fourteen trillion, six hundred eighty-two billion, six hundred fifty-two million, nine hundred twenty-two thousand, twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 81 99 121 135 165 225 275 297 363 405 495 605 675 825 891 1089 1485 1815 2025 2475 3025 3267 4455 5445 7425 7741 9075 9801 16335 22275 23223 27225 38705 49005 69669 81675 85151 116115 193525 209007 245025 255453 348345 425755 580575 627021 766359 936661 1045035 1277265 1741725 2128775 2299077 2809983 3135105 3831795 4683305 5225175 6386325 6897231 8429949 11495385 14049915 15675525 19158975 23416525 25289847 34486155 42149745 57476925 59923081 70249575 75869541 126449235 172430775 179769243 210748725 299615405 379347705 539307729 632246175 659153891 898846215 1498077025 1617923187 1896738525 1977461673 2696538645 3295769455 4494231075 4853769561 5932385019 7250692801 8089615935 9887308365 13482693225 16478847275 17797155057 21752078403 24268847805 29661925095 36253464005 40448079675 49436541825 53391465171 65256235209 88985775285 108760392015 121344239025 148309625475 181267320025 195768705627 266957325855 326281176045 444928876425 543801960075 587306116881 978843528135 1334786629275 1631405880225 2936530584405 4894217640675 14682652922025