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24130641413 = 533135772521
BaseRepresentation
bin10110011110010011…
…000101111000000101
32022021201001121000202
4112132103011320011
5343404421011123
615030243220245
71512660032144
oct263623057005
968251047022
1024130641413
11a26313305a
124815377685
1323773aaa58
14124cb2575b
159636e9a28
hex59e4c5e05

24130641413 has 16 divisors (see below), whose sum is σ = 24717032496. Its totient is φ = 23549460480.

The previous prime is 24130641373. The next prime is 24130641427. The reversal of 24130641413 is 31414603142.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1666027489 + 22464613924 = 40817^2 + 149882^2 .

It is a cyclic number.

It is not a de Polignac number, because 24130641413 - 216 = 24130575877 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24130641473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9570593 + ... + 9573113.

It is an arithmetic number, because the mean of its divisors is an integer number (1544814531).

Almost surely, 224130641413 is an apocalyptic number.

It is an amenable number.

24130641413 is a deficient number, since it is larger than the sum of its proper divisors (586391083).

24130641413 is a wasteful number, since it uses less digits than its factorization.

24130641413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3464.

The product of its (nonzero) digits is 6912, while the sum is 29.

The spelling of 24130641413 in words is "twenty-four billion, one hundred thirty million, six hundred forty-one thousand, four hundred thirteen".

Divisors: 1 53 313 577 2521 16589 30581 133613 180601 789073 1454617 9571853 41820869 77094701 455295121 24130641413