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9913067424 = 2532135349957
BaseRepresentation
bin10010011101101110…
…10110011110100000
3221120212012000001100
421032313112132200
5130300221124144
64315355234400
7500440453131
oct111667263640
927525160040
109913067424
114227739307
121b07a48a00
13c1c9a0790
146a07b3c88
153d043a269
hex24edd67a0

9913067424 has 144 divisors (see below), whose sum is σ = 30932195112. Its totient is φ = 2992564224.

The previous prime is 9913067407. The next prime is 9913067431. The reversal of 9913067424 is 4247603199.

It is a happy number.

9913067424 is a `hidden beast` number, since 99 + 130 + 6 + 7 + 424 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6746979600 + 3166087824 = 82140^2 + 56268^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 9913067424.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173454 + ... + 223410.

Almost surely, 29913067424 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 9913067424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15466097556).

9913067424 is an abundant number, since it is smaller than the sum of its proper divisors (21019127688).

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

9913067424 is a wasteful number, since it uses less digits than its factorization.

9913067424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50039 (or 50028 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 9913067424 is about 99564.3883323751. The cubic root of 9913067424 is about 2148.1734928477.

The spelling of 9913067424 in words is "nine billion, nine hundred thirteen million, sixty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 53 72 78 96 104 106 117 144 156 159 208 212 234 288 312 318 416 424 468 477 624 636 689 848 936 954 1248 1272 1378 1696 1872 1908 2067 2544 2756 3744 3816 4134 5088 5512 6201 7632 8268 11024 12402 15264 16536 22048 24804 33072 49608 49957 66144 99216 99914 149871 198432 199828 299742 399656 449613 599484 649441 799312 899226 1198968 1298882 1598624 1798452 1948323 2397936 2597764 2647721 3596904 3896646 4795872 5195528 5295442 5844969 7193808 7793292 7943163 10391056 10590884 11689938 14387616 15586584 15886326 20782112 21181768 23379876 23829489 31173168 31772652 34420373 42363536 46759752 47658978 62346336 63545304 68840746 84727072 93519504 95317956 103261119 127090608 137681492 187039008 190635912 206522238 254181216 275362984 309783357 381271824 413044476 550725968 619566714 762543648 826088952 1101451936 1239133428 1652177904 2478266856 3304355808 4956533712 9913067424