Search a number
-
+
9681614112 = 253232311613
BaseRepresentation
bin10010000010001000…
…11011010100100000
3220222201122221210110
421001010123110200
5124311443122422
64240410331320
7461630235132
oct110104332440
926881587713
109681614112
114119022a85
121a62429b40
13bb3a52b61
1467bb65052
153b9e6b60c
hex24111b520

9681614112 has 144 divisors (see below), whose sum is σ = 26696150208. Its totient is φ = 3071946240.

The previous prime is 9681614077. The next prime is 9681614143. The reversal of 9681614112 is 2114161869.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15793518 + ... + 15794130.

It is an arithmetic number, because the mean of its divisors is an integer number (185389932).

Almost surely, 29681614112 is an apocalyptic number.

9681614112 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9681614112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13348075104).

9681614112 is an abundant number, since it is smaller than the sum of its proper divisors (17014536096).

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

9681614112 is a wasteful number, since it uses less digits than its factorization.

9681614112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 952 counting only the distinct ones).

The product of its digits is 20736, while the sum is 39.

The square root of 9681614112 is about 98395.1935411481. The cubic root of 9681614112 is about 2131.3229243435.

The spelling of 9681614112 in words is "nine billion, six hundred eighty-one million, six hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 311 368 529 552 613 622 736 933 1058 1104 1226 1244 1587 1839 1866 2116 2208 2452 2488 3174 3678 3732 4232 4904 4976 6348 7153 7356 7464 8464 9808 9952 12696 14099 14306 14712 14928 16928 19616 21459 25392 28198 28612 29424 29856 42297 42918 50784 56396 57224 58848 84594 85836 112792 114448 164519 169188 171672 190643 225584 228896 324277 329038 338376 343344 381286 451168 493557 571929 648554 658076 676752 686688 762572 972831 987114 1143858 1297108 1316152 1353504 1525144 1945662 1974228 2287716 2594216 2632304 3050288 3891324 3948456 4384789 4575432 5188432 5264608 6100576 7782648 7896912 8769578 9150864 10376864 13154367 15565296 15793824 17539156 18301728 26308734 31130592 35078312 52617468 70156624 100850147 105234936 140313248 201700294 210469872 302550441 403400588 420939744 605100882 806801176 1210201764 1613602352 2420403528 3227204704 4840807056 9681614112