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52834577543825 = 52711179688322277
BaseRepresentation
bin11000000001101100000100…
…01110011111001010010001
320221001221021112220002002212
430000312002032133022101
523411120203322400300
6304211511515321505
714062113041123660
oct1400660216371221
9227057245802085
1052834577543825
11159200226a1070
125b13841150295
1323633827829cc
14d092c879add7
15619536862935
hex300d8239f291

52834577543825 has 96 divisors (see below), whose sum is σ = 82152823311360. Its totient is φ = 32745613075200.

The previous prime is 52834577543791. The next prime is 52834577543833.

52834577543825 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52834577543825 - 224 = 52834560766609 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 95 ways as a sum of consecutive naturals, for example, 2371698587 + ... + 2371720863.

It is an arithmetic number, because the mean of its divisors is an integer number (855758576160).

Almost surely, 252834577543825 is an apocalyptic number.

52834577543825 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52834577543825 is a deficient number, since it is larger than the sum of its proper divisors (29318245767535).

52834577543825 is a wasteful number, since it uses less digits than its factorization.

52834577543825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29367 (or 29362 counting only the distinct ones).

The product of its digits is 1128960000, while the sum is 68.

The spelling of 52834577543825 in words is "fifty-two trillion, eight hundred thirty-four billion, five hundred seventy-seven million, five hundred forty-three thousand, eight hundred twenty-five".

Divisors: 1 5 7 11 25 35 55 77 175 179 275 385 895 1253 1925 1969 4475 6265 6883 9845 13783 22277 31325 34415 48181 49225 68915 75713 111385 155939 172075 240905 245047 344575 378565 529991 556925 779695 1204525 1225235 1232057 1715329 1892825 2649955 3898475 3987583 6126175 6160285 8576645 8624399 13249775 13552627 19937915 27913081 30801425 42883225 43121995 43863413 67763135 94868389 99689575 139565405 153332591 215609975 219317065 307043891 338815675 474341945 697827025 766662955 1073328137 1096585325 1535219455 1686658501 2371709725 3833314775 5366640685 7676097275 8433292505 11806609507 26833203425 27446533789 42166462525 59033047535 137232668945 192125736523 295165237675 301911871679 686163344725 960628682615 1509559358395 2113383101753 4803143413075 7547796791975 10566915508765 52834577543825