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4336785425025 = 325219273072
BaseRepresentation
bin111111000110111100100…
…011100000001010000001
3120100121000000212221022100
4333012330203200022001
51032023214032100100
613120143002301013
7625215404613534
oct77067443401201
916317000787270
104336785425025
111422247349179
125a05b87b7769
13255c59a07011
1410dc89b4ca1b
1577c22d24400
hex3f1bc8e0281

4336785425025 has 81 divisors (see below), whose sum is σ = 8199128180451. Its totient is φ = 2190918019680.

The previous prime is 4336785425003. The next prime is 4336785425099. The reversal of 4336785425025 is 5205245876334.

The square root of 4336785425025 is 2082495.

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

4336785425025 is a `hidden beast` number, since 4 + 3 + 3 + 6 + 78 + 542 + 5 + 0 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1561242753009 + 2775542672016 = 1249497^2 + 1665996^2 .

It is not a de Polignac number, because 4336785425025 - 29 = 4336785424513 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 593507422 + ... + 593514728.

Almost surely, 24336785425025 is an apocalyptic number.

4336785425025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4336785425025 is the 2082495-th square number.

4336785425025 is the 1041248-th centered octagonal number.

It is an amenable number.

4336785425025 is a deficient number, since it is larger than the sum of its proper divisors (3862342755426).

4336785425025 is an frugal number, since it uses more digits than its factorization.

4336785425025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14668 (or 7334 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 54.

The spelling of 4336785425025 in words is "four trillion, three hundred thirty-six billion, seven hundred eighty-five million, four hundred twenty-five thousand, twenty-five".

Divisors: 1 3 5 9 15 19 25 45 57 75 95 171 225 285 361 475 855 1083 1425 1805 3249 4275 5415 7307 9025 16245 21921 27075 36535 65763 81225 109605 138833 182675 328815 416499 548025 694165 1249497 1644075 2082495 2637827 3470825 6247485 7913481 10412475 13189135 23740443 31237425 39567405 53392249 65945675 118702215 160176747 197837025 266961245 480530241 593511075 800883735 1014452731 1334806225 2402651205 3043358193 4004418675 5072263655 9130074579 12013256025 15216790965 19274601889 25361318275 45650372895 57823805667 76083954825 96373009445 173471417001 228251864475 289119028335 481865047225 867357085005 1445595141675 4336785425025