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9193289742 = 232741316363
BaseRepresentation
bin10001000111111011…
…00111100000001110
3212201200210111200200
420203331213200032
5122311440232432
64120124034330
7443550450000
oct104375474016
925650714620
109193289742
11399841071a
1219469929a6
13b36828220
14632d6c370
1538c15ca7c
hex223f6780e

9193289742 has 120 divisors (see below), whose sum is σ = 25026217944. Its totient is φ = 2424455712.

The previous prime is 9193289717. The next prime is 9193289747. The reversal of 9193289742 is 2479823919.

9193289742 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 not an unprimeable number, because it can be changed into a prime (9193289747) 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 59 ways as a sum of consecutive naturals, for example, 553653 + ... + 570015.

Almost surely, 29193289742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9193289742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12513108972).

9193289742 is an abundant number, since it is smaller than the sum of its proper divisors (15832928202).

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

9193289742 is a wasteful number, since it uses less digits than its factorization.

9193289742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16412 (or 16388 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 9193289742 is about 95881.6444477252. The cubic root of 9193289742 is about 2094.8695427828.

The spelling of 9193289742 in words is "nine billion, one hundred ninety-three million, two hundred eighty-nine thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 182 234 273 294 343 441 546 637 686 819 882 1029 1274 1638 1911 2058 2401 3087 3822 4459 4802 5733 6174 7203 8918 11466 13377 14406 16363 21609 26754 31213 32726 40131 43218 49089 62426 80262 93639 98178 114541 147267 187278 212719 229082 280917 294534 343623 425438 561834 638157 687246 801787 1030869 1276314 1489033 1603574 1914471 2061738 2405361 2978066 3828942 4467099 4810722 5612509 7216083 8934198 10423231 11225018 13401297 14432166 16837527 20846462 26802594 31269693 33675054 39287563 50512581 62539386 72962617 78575126 93809079 101025162 117862689 145925234 187618158 218887851 235725378 353588067 437775702 510738319 656663553 707176134 1021476638 1313327106 1532214957 3064429914 4596644871 9193289742