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14560825698225 = 345219244632
BaseRepresentation
bin1101001111100011010011…
…0101111110011110110001
31220120000000222102021210000
43103320310311332132301
53402031032334320400
650545052340100213
73031661556212202
oct323706465763661
956500028367700
1014560825698225
114704236563474
121771b9b094669
1381810690ba21
14384a67a7d5a9
151a3b619d5600
hexd3e34d7e7b1

14560825698225 has 135 divisors (see below), whose sum is σ = 28472338248123. Its totient is φ = 7355400320160.

The previous prime is 14560825698203. The next prime is 14560825698229. The reversal of 14560825698225 is 52289652806541.

The square root of 14560825698225 is 3815865.

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

14560825698225 is a `hidden beast` number, since 1 + 4 + 5 + 60 + 8 + 2 + 569 + 8 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5241897251361 + 9318928446864 = 2289519^2 + 3052692^2 .

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

It is not a de Polignac number, because 14560825698225 - 25 = 14560825698193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14560825698229) 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, 3262562344 + ... + 3262566806.

Almost surely, 214560825698225 is an apocalyptic number.

14560825698225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14560825698225 is the 3815865-th square number.

14560825698225 is the 1907933-rd centered octagonal number.

It is an amenable number.

14560825698225 is a deficient number, since it is larger than the sum of its proper divisors (13911512549898).

14560825698225 is an frugal number, since it uses more digits than its factorization.

14560825698225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8986 (or 4490 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 63.

The spelling of 14560825698225 in words is "fourteen trillion, five hundred sixty billion, eight hundred twenty-five million, six hundred ninety-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 19 25 27 45 57 75 81 95 135 171 225 285 361 405 475 513 675 855 1083 1425 1539 1805 2025 2565 3249 4275 4463 5415 7695 9025 9747 12825 13389 16245 22315 27075 29241 38475 40167 48735 66945 81225 84797 111575 120501 146205 200835 243675 254391 334725 361503 423985 602505 731025 763173 1004175 1271955 1611143 1807515 2119925 2289519 3012525 3815865 4833429 6359775 6868557 8055715 9037575 11447595 14500287 19079325 19918369 24167145 34342785 40278575 43500861 57237975 59755107 72501435 99591845 120835725 130502583 171713925 179265321 217504305 298775535 362507175 378449011 497959225 537795963 652512915 896326605 1087521525 1135347033 1493877675 1613387889 1892245055 2688979815 3262564575 3406041099 4481633025 5676735165 7190531209 8066939445 9461225275 10218123297 13444899075 17030205495 21571593627 28383675825 30654369891 35952656045 40334697225 51090616485 64714780881 85151027475 107857968135 153271849455 179763280225 194144342643 255453082425 323573904405 539289840675 582433027929 766359247275 970721713215 1617869522025 2912165139645 4853608566075 14560825698225