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540601424425 = 52173852114669
BaseRepresentation
bin1111101110111100101…
…10110001101000101001
31220200101102221202221201
413313132112301220221
532324122431040200
61052203204404201
754025415201206
oct7673626615051
91820342852851
10540601424425
111992a4457617
12889323a6661
133bc949a737a
141c245628cad
15e0e0319c6a
hex7dde5b1a29

540601424425 has 24 divisors (see below), whose sum is σ = 674345689560. Its totient is φ = 429901478400.

The previous prime is 540601424387. The next prime is 540601424443. The reversal of 540601424425 is 524424106045.

It can be written as a sum of positive squares in 12 ways, for example, as 27836586649 + 512764837776 = 166843^2 + 716076^2 .

It is not a de Polignac number, because 540601424425 - 213 = 540601416233 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36845991 + ... + 36860659.

It is an arithmetic number, because the mean of its divisors is an integer number (28097737065).

Almost surely, 2540601424425 is an apocalyptic number.

It is an amenable number.

540601424425 is a deficient number, since it is larger than the sum of its proper divisors (133744265135).

540601424425 is a wasteful number, since it uses less digits than its factorization.

540601424425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23373 (or 23368 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 37.

The spelling of 540601424425 in words is "five hundred forty billion, six hundred one million, four hundred twenty-four thousand, four hundred twenty-five".

Divisors: 1 5 25 173 865 4325 8521 14669 42605 73345 213025 366725 1474133 2537737 7370665 12688685 36853325 63443425 124994549 624972745 3124863725 21624056977 108120284885 540601424425