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13424619504 = 2434152113093
BaseRepresentation
bin11001000000010101…
…10110111111110000
31021122120210022220210
430200022312333300
5204443200311004
610100040104120
7653450245242
oct144012667760
937576708823
1013424619504
11576993636a
122727a65040
13135c35324a
14914cdc092
1553887a089
hex3202b6ff0

13424619504 has 80 divisors (see below), whose sum is σ = 35597034144. Its totient is φ = 4357017600.

The previous prime is 13424619497. The next prime is 13424619557. The reversal of 13424619504 is 40591642431.

13424619504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 1018782 + ... + 1031874.

Almost surely, 213424619504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13424619504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17798517072).

13424619504 is an abundant number, since it is smaller than the sum of its proper divisors (22172414640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13424619504 is a wasteful number, since it uses less digits than its factorization.

13424619504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13666 (or 13660 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 13424619504 in words is "thirteen billion, four hundred twenty-four million, six hundred nineteen thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 521 656 984 1042 1563 1968 2084 3126 4168 6252 8336 12504 13093 21361 25008 26186 39279 42722 52372 64083 78558 85444 104744 128166 157116 170888 209488 256332 314232 341776 512664 536813 628464 1025328 1073626 1610439 2147252 3220878 4294504 6441756 6821453 8589008 12883512 13642906 20464359 25767024 27285812 40928718 54571624 81857436 109143248 163714872 279679573 327429744 559359146 839038719 1118718292 1678077438 2237436584 3356154876 4474873168 6712309752 13424619504