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10433255303025 = 345217924012
BaseRepresentation
bin1001011111010010111001…
…1110011110011101110001
31100221102001111112001110000
42113310232132132131301
52331414301324144100
634104545445500213
72124530535556452
oct227645636363561
940842044461400
1010433255303025
11336279a695825
121206050111669
135a8b0c3c1559
14280d87bdd129
151315d6139900
hex97d2e79e771

10433255303025 has 135 divisors (see below), whose sum is σ = 19483151108113. Its totient is φ = 5519517984000.

The previous prime is 10433255302927. The next prime is 10433255303039. The reversal of 10433255303025 is 52030355233401.

The square root of 10433255303025 is 3230055.

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

10433255303025 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 325 + 5 + 303 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2790927748449 + 7642327554576 = 1670607^2 + 2764476^2 .

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

It is not a de Polignac number, because 10433255303025 - 221 = 10433253205873 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 26018092825 + ... + 26018093225.

Almost surely, 210433255303025 is an apocalyptic number.

10433255303025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10433255303025 is the 3230055-th square number.

10433255303025 is the 1615028-th centered octagonal number.

It is an amenable number.

10433255303025 is a deficient number, since it is larger than the sum of its proper divisors (9049895805088).

10433255303025 is an frugal number, since it uses more digits than its factorization.

10433255303025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

Multiplying 10433255303025 by its sum of digits (36), we get a square (375597190908900 = 193803302).

The spelling of 10433255303025 in words is "ten trillion, four hundred thirty-three billion, two hundred fifty-five million, three hundred three thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 179 225 401 405 537 675 895 1203 1611 2005 2025 2685 3609 4475 4833 6015 8055 10025 10827 13425 14499 18045 24165 30075 32041 32481 40275 54135 71779 72495 90225 96123 120825 160205 160801 162405 215337 270675 288369 358895 362475 480615 482403 646011 801025 804005 812025 865107 1076685 1441845 1447209 1794475 1938033 2403075 2412015 2595321 3230055 4020025 4325535 4341627 5383425 5814099 7209225 7236045 9690165 12060075 12848441 12976605 13024881 16150275 21627675 21708135 28783379 29070495 36180225 38545323 48450825 64242205 64883025 65124405 86350137 108540675 115635969 143916895 145352475 192726615 259050411 321211025 325622025 346907907 431750685 578179845 719584475 777151233 963633075 1040723721 1295252055 1734539535 2158753425 2331453699 2890899225 3885756165 5152224841 5203618605 6476260275 8672697675 11657268495 15456674523 19428780825 25761124205 26018093025 46370023569 58286342475 77283372615 128805621025 139110070707 231850117845 386416863075 417330212121 695550353535 1159250589225 2086651060605 3477751767675 10433255303025