Search a number
-
+
12287356032 = 273721135779
BaseRepresentation
bin10110111000110001…
…00010110010000000
31011201022211100201110
423130120202302000
5200131030343112
65351132403320
7613330542300
oct133430426200
934638740643
1012287356032
11523598a4a6
12246b016540
13120a856493
14847c5d600
154bdad313c
hex2dc622c80

12287356032 has 192 divisors, whose sum is σ = 38309608800. Its totient is φ = 3479003136.

The previous prime is 12287356019. The next prime is 12287356049. The reversal of 12287356032 is 23065378221.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2123319 + ... + 2129097.

Almost surely, 212287356032 is an apocalyptic number.

12287356032 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 12287356032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19154804400).

12287356032 is an abundant number, since it is smaller than the sum of its proper divisors (26022252768).

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

12287356032 is a wasteful number, since it uses less digits than its factorization.

12287356032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5923 (or 5904 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 12287356032 in words is "twelve billion, two hundred eighty-seven million, three hundred fifty-six thousand, thirty-two".