Search a number
-
+
96119614096 = 24112378915077
BaseRepresentation
bin101100110000100101…
…1001110101010010000
3100012002202000022111021
41121201023032222100
53033323110122341
6112053504525224
76641635145032
oct1314113165220
9305082008437
1096119614096
113784501a800
1216766320814
1390aa90b3cc
14491b965c52
1527787409d1
hex16612cea90

96119614096 has 120 divisors (see below), whose sum is σ = 212609751480. Its totient is φ = 42029475840.

The previous prime is 96119614091. The next prime is 96119614127. The reversal of 96119614096 is 69041691169.

It can be written as a sum of positive squares in 4 ways, for example, as 2093977600 + 94025636496 = 45760^2 + 306636^2 .

It is not an unprimeable number, because it can be changed into a prime (96119614091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6367710 + ... + 6382786.

It is an arithmetic number, because the mean of its divisors is an integer number (1771747929).

Almost surely, 296119614096 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 96119614096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106304875740).

96119614096 is an abundant number, since it is smaller than the sum of its proper divisors (116490137384).

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

96119614096 is a wasteful number, since it uses less digits than its factorization.

96119614096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15233 (or 15216 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 52.

The spelling of 96119614096 in words is "ninety-six billion, one hundred nineteen million, six hundred fourteen thousand, ninety-six".

Divisors: 1 2 4 8 11 16 22 37 44 74 88 89 121 148 176 178 242 296 356 407 484 592 712 814 968 979 1424 1628 1936 1958 3256 3293 3916 4477 6512 6586 7832 8954 10769 13172 15077 15664 17908 21538 26344 30154 35816 36223 43076 52688 60308 71632 72446 86152 120616 144892 165847 172304 241232 289784 331694 398453 557849 579568 663388 796906 1115698 1326776 1341853 1593812 1824317 2231396 2653552 2683706 3187624 3648634 4462792 5367412 6136339 6375248 7297268 8925584 10734824 12272678 14594536 14760383 21469648 24545356 29189072 29520766 49090712 49648561 59041532 67499729 98181424 99297122 118083064 134999458 162364213 198594244 236166128 269998916 324728426 397188488 539997832 546134171 649456852 794376976 1079995664 1092268342 1298913704 2184536684 2597827408 4369073368 6007475881 8738146736 12014951762 24029903524 48059807048 96119614096