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9996368100 = 223522311171297
BaseRepresentation
bin10010100111101010…
…00111100011100100
3221210122221010002120
421103311013203210
5130433032234400
64331532505540
7502501504215
oct112365074344
927718833076
109996368100
11426a764344
121b2b91b2b0
13c34018314
146ab89940c
153d78e1ca0
hex253d478e4

9996368100 has 144 divisors (see below), whose sum is σ = 30230648448. Its totient is φ = 2545551360.

The previous prime is 9996368089. The next prime is 9996368113. The reversal of 9996368100 is 18636999.

9996368100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×99963681002 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7706652 + ... + 7707948.

Almost surely, 29996368100 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 9996368100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15115324224).

9996368100 is an abundant number, since it is smaller than the sum of its proper divisors (20234280348).

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

9996368100 is a wasteful number, since it uses less digits than its factorization.

9996368100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2454 (or 2447 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 51.

The square root of 9996368100 is about 99981.8388508633. The cubic root of 9996368100 is about 2154.1738354044.

The spelling of 9996368100 in words is "nine billion, nine hundred ninety-six million, three hundred sixty-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1117 1150 1297 1380 1725 2234 2300 2594 3351 3450 3891 4468 5188 5585 6485 6702 6900 7782 11170 12970 13404 15564 16755 19455 22340 25691 25940 27925 29831 32425 33510 38910 51382 55850 59662 64850 67020 77073 77820 83775 89493 97275 102764 111700 119324 128455 129700 149155 154146 167550 178986 194550 256910 298310 308292 335100 357972 385365 389100 447465 513820 596620 642275 745775 770730 894930 1284550 1448749 1491550 1541460 1789860 1926825 2237325 2569100 2897498 2983100 3853650 4346247 4474650 5794996 7243745 7707300 8692494 8949300 14487490 17384988 21731235 28974980 33321227 36218725 43462470 66642454 72437450 86924940 99963681 108656175 133284908 144874900 166606135 199927362 217312350 333212270 399854724 434624700 499818405 666424540 833030675 999636810 1666061350 1999273620 2499092025 3332122700 4998184050 9996368100