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560499282225 = 345212721312
BaseRepresentation
bin10000010100000000101…
…11000101000100110001
31222120202011021200110000
420022000113011010301
533140400304012400
61105253444500213
755331460201351
oct10120027050461
91876664250400
10560499282225
111a67852616a3
12907660aa669
1340b1616b41c
141d1b2122b61
15e8a710b600
hex82805c5131

560499282225 has 135 divisors (see below), whose sum is σ = 1054527261051. Its totient is φ = 294315184800.

The previous prime is 560499282223. The next prime is 560499282263. The reversal of 560499282225 is 522282994065.

The square root of 560499282225 is 748665.

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

560499282225 is a `hidden beast` number, since 5 + 604 + 9 + 9 + 2 + 8 + 2 + 2 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 201779741601 + 358719540624 = 449199^2 + 598932^2 .

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

It is not a de Polignac number, because 560499282225 - 21 = 560499282223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (560499282223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 4278620410 + ... + 4278620540.

Almost surely, 2560499282225 is an apocalyptic number.

560499282225 is the 748665-th square number.

560499282225 is the 374333-rd centered octagonal number.

It is an amenable number.

560499282225 is a deficient number, since it is larger than the sum of its proper divisors (494027978826).

560499282225 is an equidigital number, since it uses as much as digits as its factorization.

560499282225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

It can be divided in two parts, 560499 and 282225, that added together give a square (842724 = 9182).

The spelling of 560499282225 in words is "five hundred sixty billion, four hundred ninety-nine million, two hundred eighty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 127 131 135 225 381 393 405 635 655 675 1143 1179 1905 1965 2025 3175 3275 3429 3537 5715 5895 9525 9825 10287 10611 16129 16637 17145 17161 17685 28575 29475 48387 49911 51435 51483 53055 80645 83185 85725 85805 88425 145161 149733 154449 241935 249555 257175 257415 265275 403225 415925 429025 435483 449199 463347 725805 748665 772245 1209675 1247775 1287075 1306449 1347597 1390041 2112899 2177415 2179447 2245995 2316735 3629025 3743325 3861225 6338697 6532245 6538341 6737985 6950205 10564495 10887075 10897235 11229975 11583675 19016091 19615023 31693485 32661225 32691705 33689925 34751025 52822475 54486175 57048273 58845069 95080455 98075115 158467425 163458525 171144819 176535207 276789769 285241365 294225345 475402275 490375575 830369307 855724095 882676035 1383948845 1426206825 1471126725 2491107921 4151846535 4278620475 4413380175 6919744225 7473323763 12455539605 20759232675 22419971289 37366618815 62277698025 112099856445 186833094075 560499282225