Search a number
-
+
9995393088 = 263310157271
BaseRepresentation
bin10010100111100010…
…11001100001000000
3221210121002120122000
421103301121201000
5130432310034323
64331455544000
7502460303502
oct112361314100
927717076560
109995393088
11426a15884a
121b2b52b000
13c33a665a5
146ab6c3d72
153d779ce43
hex253c59840

9995393088 has 112 divisors (see below), whose sum is σ = 29676059520. Its totient is φ = 3298752000.

The previous prime is 9995393087. The next prime is 9995393131. The reversal of 9995393088 is 8803935999.

9995393088 is a `hidden beast` number, since 9 + 99 + 539 + 3 + 0 + 8 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (9995393087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145893 + ... + 203163.

Almost surely, 29995393088 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 9995393088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14838029760).

9995393088 is an abundant number, since it is smaller than the sum of its proper divisors (19680666432).

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

9995393088 is a wasteful number, since it uses less digits than its factorization.

9995393088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57393 (or 57377 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 63.

The square root of 9995393088 is about 99976.9627864340. The cubic root of 9995393088 is about 2154.1037961792.

The spelling of 9995393088 in words is "nine billion, nine hundred ninety-five million, three hundred ninety-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 101 108 144 192 202 216 288 303 404 432 576 606 808 864 909 1212 1616 1728 1818 2424 2727 3232 3636 4848 5454 6464 7272 9696 10908 14544 19392 21816 29088 43632 57271 58176 87264 114542 171813 174528 229084 343626 458168 515439 687252 916336 1030878 1374504 1546317 1832672 2061756 2749008 3092634 3665344 4123512 5498016 5784371 6185268 8247024 10996032 11568742 12370536 16494048 17353113 23137484 24741072 32988096 34706226 46274968 49482144 52059339 69412452 92549936 98964288 104118678 138824904 156178017 185099872 208237356 277649808 312356034 370199744 416474712 555299616 624712068 832949424 1110599232 1249424136 1665898848 2498848272 3331797696 4997696544 9995393088