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96960969216 = 293311815939
BaseRepresentation
bin101101001001101010…
…0101111101000000000
3100021021101011120202000
41122103110233220000
53042034002003331
6112313202024000
710001532432306
oct1322324575000
9307241146660
1096960969216
1138136a37311
1216960048000
1391b3010887
14499b5b8276
1527c75360e6
hex169352fa00

96960969216 has 160 divisors (see below), whose sum is σ = 287302593600. Its totient is φ = 32287518720.

The previous prime is 96960969139. The next prime is 96960969227. The reversal of 96960969216 is 61296906969.

96960969216 is a `hidden beast` number, since 9 + 6 + 9 + 609 + 6 + 9 + 2 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16323175 + ... + 16329113.

It is an arithmetic number, because the mean of its divisors is an integer number (1795641210).

Almost surely, 296960969216 is an apocalyptic number.

96960969216 is a gapful number since it is divisible by the number (96) 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 96960969216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143651296800).

96960969216 is an abundant number, since it is smaller than the sum of its proper divisors (190341624384).

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

96960969216 is a wasteful number, since it uses less digits than its factorization.

96960969216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7147 (or 7125 counting only the distinct ones).

The product of its (nonzero) digits is 17006112, while the sum is 63.

The spelling of 96960969216 in words is "ninety-six billion, nine hundred sixty million, nine hundred sixty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1181 1536 1728 2304 2362 3456 3543 4608 4724 5939 6912 7086 9448 10629 11878 13824 14172 17817 18896 21258 23756 28344 31887 35634 37792 42516 47512 53451 56688 63774 71268 75584 85032 95024 106902 113376 127548 142536 151168 160353 170064 190048 213804 226752 255096 285072 302336 320706 340128 380096 427608 453504 510192 570144 604672 641412 680256 760192 855216 907008 1020384 1140288 1282824 1360512 1520384 1710432 1814016 2040768 2280576 2565648 2721024 3040768 3420864 4081536 4561152 5131296 5442048 6841728 7013959 8163072 9122304 10262592 13683456 14027918 16326144 20525184 21041877 27366912 28055836 41050368 42083754 56111672 63125631 82100736 84167508 112223344 126251262 168335016 189376893 224446688 252502524 336670032 378753786 448893376 505005048 673340064 757507572 897786752 1010010096 1346680128 1515015144 1795573504 2020020192 2693360256 3030030288 3591147008 4040040384 5386720512 6060060576 8080080768 10773441024 12120121152 16160161536 24240242304 32320323072 48480484608 96960969216