Search a number
-
+
9608914112 = 26723319257
BaseRepresentation
bin10001111001011110…
…00110010011000000
3220210122212102010212
420330233012103000
5124134340222422
64225252213252
7460055264600
oct107457062300
926718772125
109608914112
114090a88436
121a4200a228
13ba197a3c5
1467223cc00
153b38aa9e2
hex23cbc64c0

9608914112 has 84 divisors (see below), whose sum is σ = 22250195784. Its totient is φ = 4105221120.

The previous prime is 9608914057. The next prime is 9608914129. The reversal of 9608914112 is 2114198069.

It is a self number, because there is not a number n which added to its sum of digits gives 9608914112.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1033388 + ... + 1042644.

Almost surely, 29608914112 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 9608914112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11125097892).

9608914112 is an abundant number, since it is smaller than the sum of its proper divisors (12641281672).

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

9608914112 is a wasteful number, since it uses less digits than its factorization.

9608914112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9614 (or 9597 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 41.

The square root of 9608914112 is about 98025.0687936509. The cubic root of 9608914112 is about 2125.9747582999.

The spelling of 9608914112 in words is "nine billion, six hundred eight million, nine hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 331 392 448 662 784 1324 1568 2317 2648 3136 4634 5296 9257 9268 10592 16219 18514 18536 21184 32438 37028 37072 64799 64876 74056 74144 129598 129752 148112 148288 259196 259504 296224 453593 518392 519008 592448 907186 1036784 1038016 1814372 2073568 3064067 3628744 4147136 6128134 7257488 12256268 14514976 21448469 24512536 29029952 42896938 49025072 85793876 98050144 150139283 171587752 196100288 300278566 343175504 600557132 686351008 1201114264 1372702016 2402228528 4804457056 9608914112