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12583000020 = 22351391508753
BaseRepresentation
bin10111011100000000…
…10101011111010100
31012110221010122000210
423232000111133110
5201232222000040
65440333205420
7623550510153
oct135600253724
935427118023
1012583000020
115377859178
122532030870
131256b8a656
1487521b59a
154d9a31480
hex2ee0157d4

12583000020 has 48 divisors (see below), whose sum is σ = 35485894080. Its totient is φ = 3331324416.

The previous prime is 12583000019. The next prime is 12583000043. The reversal of 12583000020 is 2000038521.

12583000020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 746037 + ... + 762716.

It is an arithmetic number, because the mean of its divisors is an integer number (739289460).

Almost surely, 212583000020 is an apocalyptic number.

12583000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12583000020 is an abundant number, since it is smaller than the sum of its proper divisors (22902894060).

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

12583000020 is a wasteful number, since it uses less digits than its factorization.

12583000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508904 (or 1508902 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 12583000020 its reverse (2000038521), we get a palindrome (14583038541).

The spelling of 12583000020 in words is "twelve billion, five hundred eighty-three million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 139 278 417 556 695 834 1390 1668 2085 2780 4170 8340 1508753 3017506 4526259 6035012 7543765 9052518 15087530 18105036 22631295 30175060 45262590 90525180 209716667 419433334 629150001 838866668 1048583335 1258300002 2097166670 2516600004 3145750005 4194333340 6291500010 12583000020