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20083268300 = 2252899112477
BaseRepresentation
bin10010101101000011…
…100101101011001100
31220211122012201212212
4102231003211223030
5312112304041200
613120502045552
71310452651424
oct225503455314
956748181785
1020083268300
1185765327a7
123a85a198b8
131b80a10814
14d8739d484
157c8218035
hex4ad0e5acc

20083268300 has 72 divisors (see below), whose sum is σ = 44136550080. Its totient is φ = 7931123200.

The previous prime is 20083268287. The next prime is 20083268311. The reversal of 20083268300 is 386238002.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 8106662 + ... + 8109138.

It is an arithmetic number, because the mean of its divisors is an integer number (613007640).

Almost surely, 220083268300 is an apocalyptic number.

20083268300 is a gapful number since it is divisible by the number (20) 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 20083268300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22068275040).

20083268300 is an abundant number, since it is smaller than the sum of its proper divisors (24053281780).

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

20083268300 is a wasteful number, since it uses less digits than its factorization.

20083268300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3491 (or 3484 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 20083268300 in words is "twenty billion, eighty-three million, two hundred sixty-eight thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 178 356 445 890 911 1780 1822 2225 2477 3644 4450 4555 4954 8900 9110 9908 12385 18220 22775 24770 45550 49540 61925 81079 91100 123850 162158 220453 247700 324316 405395 440906 810790 881812 1102265 1621580 2026975 2204530 2256547 4053950 4409060 4513094 5511325 8107900 9026188 11022650 11282735 22045300 22565470 45130940 56413675 112827350 200832683 225654700 401665366 803330732 1004163415 2008326830 4016653660 5020817075 10041634150 20083268300