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9903955968 = 2133344777
BaseRepresentation
bin10010011100101001…
…00110000000000000
3221120020001002111000
421032110212000000
5130240403042333
64314432052000
7500300144124
oct111624460000
927506032430
109903955968
114222585785
121b04994000
13c1ab3049a
1469d4c1584
153ce73a713
hex24e526000

9903955968 has 112 divisors (see below), whose sum is σ = 29343918960. Its totient is φ = 3301244928.

The previous prime is 9903955961. The next prime is 9903955969. The reversal of 9903955968 is 8695593099.

9903955968 is a `hidden beast` number, since 9 + 9 + 0 + 39 + 5 + 596 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9903955961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 198796 + ... + 243572.

Almost surely, 29903955968 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 9903955968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14671959480).

9903955968 is an abundant number, since it is smaller than the sum of its proper divisors (19439962992).

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

9903955968 is an equidigital number, since it uses as much as digits as its factorization.

9903955968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44812 (or 44782 counting only the distinct ones).

The product of its (nonzero) digits is 23619600, while the sum is 63.

The square root of 9903955968 is about 99518.6212123138. The cubic root of 9903955968 is about 2147.5151366520.

The spelling of 9903955968 in words is "nine billion, nine hundred three million, nine hundred fifty-five thousand, nine hundred sixty-eight".

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 1024 1152 1536 1728 2048 2304 3072 3456 4096 4608 6144 6912 8192 9216 12288 13824 18432 24576 27648 36864 44777 55296 73728 89554 110592 134331 179108 221184 268662 358216 402993 537324 716432 805986 1074648 1208979 1432864 1611972 2149296 2417958 2865728 3223944 4298592 4835916 5731456 6447888 8597184 9671832 11462912 12895776 17194368 19343664 22925824 25791552 34388736 38687328 45851648 51583104 68777472 77374656 91703296 103166208 137554944 154749312 183406592 206332416 275109888 309498624 366813184 412664832 550219776 618997248 825329664 1100439552 1237994496 1650659328 2475988992 3301318656 4951977984 9903955968