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25968657096 = 2332312894217
BaseRepresentation
bin11000001011110110…
…100100001011001000
32111000210121110112200
4120023312210023020
5411140434011341
615532502240200
71606345641354
oct301366441310
974023543480
1025968657096
11100166a2488
125048a26060
1325ab11b3b5
141384c96464
15a1ec61db6
hex60bda42c8

25968657096 has 144 divisors (see below), whose sum is σ = 73507718700. Its totient is φ = 8280898560.

The previous prime is 25968657079. The next prime is 25968657109. The reversal of 25968657096 is 69075686952.

25968657096 is a `hidden beast` number, since 2 + 59 + 6 + 8 + 6 + 570 + 9 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25885592100 + 83064996 = 160890^2 + 9114^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6155980 + ... + 6160196.

Almost surely, 225968657096 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 25968657096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36753859350).

25968657096 is an abundant number, since it is smaller than the sum of its proper divisors (47539061604).

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

25968657096 is a wasteful number, since it uses less digits than its factorization.

25968657096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4380 (or 4342 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 25968657096 in words is "twenty-five billion, nine hundred sixty-eight million, six hundred fifty-seven thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 89 93 124 178 186 248 267 279 356 372 534 558 712 744 801 961 1068 1116 1602 1922 2136 2232 2759 2883 3204 3844 4217 5518 5766 6408 7688 8277 8434 8649 11036 11532 12651 16554 16868 17298 22072 23064 24831 25302 33108 33736 34596 37953 49662 50604 66216 69192 75906 85529 99324 101208 130727 151812 171058 198648 256587 261454 303624 342116 375313 392181 513174 522908 684232 750626 769761 784362 1026348 1045816 1125939 1176543 1501252 1539522 1568724 2052696 2251878 2353086 3002504 3079044 3137448 3377817 4052537 4503756 4706172 6158088 6755634 8105074 9007512 9412344 11634703 12157611 13511268 16210148 23269406 24315222 27022536 32420296 34904109 36472833 46538812 48630444 69808218 72945666 93077624 97260888 104712327 139616436 145891332 209424654 279232872 291782664 360675793 418849308 721351586 837698616 1082027379 1442703172 2164054758 2885406344 3246082137 4328109516 6492164274 8656219032 12984328548 25968657096