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12002438532 = 22371724673407
BaseRepresentation
bin10110010110110011…
…01010110110000100
31010222110201001101110
423023121222312010
5144040111013112
65302553525020
7603301021110
oct131331526604
933873631343
1012002438532
1150aa077797
1223ab713770
131193809746
1481c094740
154a3aa313c
hex2cb66ad84

12002438532 has 96 divisors (see below), whose sum is σ = 33912926208. Its totient is φ = 3225291264.

The previous prime is 12002438501. The next prime is 12002438573. The reversal of 12002438532 is 23583420021.

12002438532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12002438532.

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 31 ways as a sum of consecutive naturals, for example, 3521173 + ... + 3524579.

It is an arithmetic number, because the mean of its divisors is an integer number (353259648).

Almost surely, 212002438532 is an apocalyptic number.

12002438532 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 12002438532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16956463104).

12002438532 is an abundant number, since it is smaller than the sum of its proper divisors (21910487676).

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

12002438532 is a wasteful number, since it uses less digits than its factorization.

12002438532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5905 (or 5903 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 12002438532 its reverse (23583420021), we get a palindrome (35585858553).

The spelling of 12002438532 in words is "twelve billion, two million, four hundred thirty-eight thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 1428 2467 3407 4934 6814 7401 9868 10221 13628 14802 17269 20442 23849 29604 34538 40884 41939 47698 51807 57919 69076 71547 83878 95396 103614 115838 125817 143094 167756 173757 207228 231676 251634 286188 293573 347514 405433 503268 587146 695028 810866 880719 1174292 1216299 1621732 1761438 2432598 3522876 4865196 8405069 16810138 25215207 33620276 50430414 58835483 100860828 117670966 142886173 176506449 235341932 285772346 353012898 428658519 571544692 706025796 857317038 1000203211 1714634076 2000406422 3000609633 4000812844 6001219266 12002438532