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560740268802025 = 52132101236072
BaseRepresentation
bin111111101111111011000010…
…0100010000111111111101001
32201112102020122110022122200201
41333133312010202013333221
51041444132032303131100
65304332305005432201
7226053101411202124
oct17737660442077751
92645366573278621
10560740268802025
1115273a6812a7544
1252a8327956b661
131b0b6771358100
149c67d8c2373bb
1544c621b93a36a
hex1fdfd84887fe9

560740268802025 has 81 divisors (see below), whose sum is σ = 760657563454383. Its totient is φ = 409871605104000.

The previous prime is 560740268802019. The next prime is 560740268802053. The reversal of 560740268802025 is 520208862047065.

The square root of 560740268802025 is 23679955.

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

It can be written as a sum of positive squares in 13 ways, for example, as 250396096040281 + 310344172761744 = 15823909^2 + 17616588^2 .

It is not a de Polignac number, because 560740268802025 - 29 = 560740268801513 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 155458902772 + ... + 155458906378.

Almost surely, 2560740268802025 is an apocalyptic number.

560740268802025 is the 23679955-th square number.

560740268802025 is the 11839978-th centered octagonal number.

It is an amenable number.

560740268802025 is a deficient number, since it is larger than the sum of its proper divisors (199917294652358).

560740268802025 is an frugal number, since it uses more digits than its factorization.

560740268802025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7452 (or 3726 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 55.

The spelling of 560740268802025 in words is "five hundred sixty trillion, seven hundred forty billion, two hundred sixty-eight million, eight hundred two thousand, twenty-five".

Divisors: 1 5 13 25 65 101 169 325 505 845 1313 2525 3607 4225 6565 10201 17069 18035 32825 46891 51005 85345 90175 132613 234455 255025 364307 426725 609583 663065 1172275 1723969 1821535 3047915 3315325 4735991 8619845 9107675 13010449 15239575 23679955 36795007 43099225 61567883 65052245 118399775 169135837 183975035 307839415 325261225 478335091 845679185 919875175 1314055349 1539197075 2198765881 2391675455 4228395925 6218356183 6570276745 10993829405 11958377275 17082719537 31091780915 32851383725 54969147025 85413597685 132719590249 155458904575 222075353981 427067988425 663597951245 1110376769905 1725354673237 3317989756225 5551883849525 8626773366185 22429610752081 43133866830925 112148053760405 560740268802025