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19963226112 = 21139973259
BaseRepresentation
bin10010100101111001…
…101010100000000000
31220112021022221221220
4102211321222200000
5311341041213422
613100533115040
71304464423254
oct224571524000
956467287856
1019963226112
1185147a2285
123a51788a80
131b61ba063b
14d75472264
157bc904e5c
hex4a5e6a800

19963226112 has 96 divisors (see below), whose sum is σ = 53292002400. Its totient is φ = 6645694464.

The previous prime is 19963226069. The next prime is 19963226113. The reversal of 19963226112 is 21162236991.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (19963226113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6123939 + ... + 6127197.

It is an arithmetic number, because the mean of its divisors is an integer number (555125025).

Almost surely, 219963226112 is an apocalyptic number.

19963226112 is a gapful number since it is divisible by the number (12) 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 19963226112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26646001200).

19963226112 is an abundant number, since it is smaller than the sum of its proper divisors (33328776288).

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

19963226112 is an equidigital number, since it uses as much as digits as its factorization.

19963226112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4281 (or 4261 counting only the distinct ones).

The product of its digits is 69984, while the sum is 42.

The spelling of 19963226112 in words is "nineteen billion, nine hundred sixty-three million, two hundred twenty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 997 1024 1536 1994 2048 2991 3072 3259 3988 5982 6144 6518 7976 9777 11964 13036 15952 19554 23928 26072 31904 39108 47856 52144 63808 78216 95712 104288 127616 156432 191424 208576 255232 312864 382848 417152 510464 625728 765696 834304 1020928 1251456 1531392 1668608 2041856 2502912 3062784 3249223 3337216 5005824 6125568 6498446 6674432 9747669 10011648 12996892 19495338 20023296 25993784 38990676 51987568 77981352 103975136 155962704 207950272 311925408 415900544 623850816 831801088 1247701632 1663602176 2495403264 3327204352 4990806528 6654408704 9981613056 19963226112