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20303933048 = 237719915153
BaseRepresentation
bin10010111010001101…
…010110111001111000
31221102000102200000022
4102322031112321320
5313040301324143
613154423430012
71316102404040
oct227215267170
957360380008
1020303933048
11867a04a463
123b278b5308
131bb7651989
14da8800720
157dc7a5268
hex4ba356e78

20303933048 has 64 divisors (see below), whose sum is σ = 44174315520. Its totient is φ = 8568806400.

The previous prime is 20303932993. The next prime is 20303933057. The reversal of 20303933048 is 84033930302.

It is a junction number, because it is equal to n+sod(n) for n = 20303932999 and 20303933017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3937640 + ... + 3942792.

It is an arithmetic number, because the mean of its divisors is an integer number (690223680).

Almost surely, 220303933048 is an apocalyptic number.

20303933048 is a gapful number since it is divisible by the number (28) 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 20303933048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22087157760).

20303933048 is an abundant number, since it is smaller than the sum of its proper divisors (23870382472).

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

20303933048 is a wasteful number, since it uses less digits than its factorization.

20303933048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6228 (or 6224 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 35.

The spelling of 20303933048 in words is "twenty billion, three hundred three million, nine hundred thirty-three thousand, forty-eight".

Divisors: 1 2 4 7 8 14 28 56 71 142 284 497 568 991 994 1982 1988 3964 3976 5153 6937 7928 10306 13874 20612 27748 36071 41224 55496 70361 72142 140722 144284 281444 288568 365863 492527 562888 731726 985054 1463452 1970108 2561041 2926904 3940216 5106623 5122082 10213246 10244164 20426492 20488328 35746361 40852984 71492722 142985444 285970888 362570233 725140466 1450280932 2537991631 2900561864 5075983262 10151966524 20303933048