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9906368823296 = 21411193284803
BaseRepresentation
bin1001000000101000000110…
…0110000100000000000000
31022002001001212122122200222
42100022001212010000000
52244301220404321141
633022531212002212
72041466024436611
oct220120146040000
938061055578628
109906368823296
11317a2a3a40150
12113bb06a60368
1356b221c5b69a
14263683c87c08
15122a49de714b
hex90281984000

9906368823296 has 120 divisors (see below), whose sum is σ = 21725297971104. Its totient is φ = 4479548129280.

The previous prime is 9906368823277. The next prime is 9906368823311. The reversal of 9906368823296 is 6923288636099.

It is a super-2 number, since 2×99063688232962 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34640831 + ... + 34925633.

Almost surely, 29906368823296 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 9906368823296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10862648985552).

9906368823296 is an abundant number, since it is smaller than the sum of its proper divisors (11818929147808).

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

9906368823296 is a wasteful number, since it uses less digits than its factorization.

9906368823296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285035 (or 285009 counting only the distinct ones).

The product of its (nonzero) digits is 362797056, while the sum is 71.

The spelling of 9906368823296 in words is "nine trillion, nine hundred six billion, three hundred sixty-eight million, eight hundred twenty-three thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 193 256 352 386 512 704 772 1024 1408 1544 2048 2123 2816 3088 4096 4246 5632 6176 8192 8492 11264 12352 16384 16984 22528 24704 33968 45056 49408 67936 90112 98816 135872 180224 197632 271744 284803 395264 543488 569606 790528 1086976 1139212 1581056 2173952 2278424 3132833 3162112 4347904 4556848 6265666 8695808 9113696 12531332 17391616 18227392 25062664 34783232 36454784 50125328 54966979 72909568 100250656 109933958 145819136 200501312 219867916 291638272 401002624 439735832 583276544 604636769 802005248 879471664 1166553088 1209273538 1604010496 1758943328 2333106176 2418547076 3208020992 3517886656 4666212352 4837094152 6416041984 7035773312 9674188304 12832083968 14071546624 19348376608 25664167936 28143093248 38696753216 51328335872 56286186496 77393506432 112572372992 154787012864 225144745984 309574025728 450289491968 619148051456 900578983936 1238296102912 2476592205824 4953184411648 9906368823296