Search a number
-
+
12865440200 = 23521731373299
BaseRepresentation
bin10111111101101011…
…10000100111001000
31020012121121002010012
423332311300213020
5202322023041300
65524343011052
7633550303004
oct137665604710
936177532105
1012865440200
115502229708
1225b0739a88
1312a054a912
148a093d704
15504722435
hex2fed709c8

12865440200 has 192 divisors, whose sum is σ = 33587136000. Its totient is φ = 4559155200.

The previous prime is 12865440173. The next prime is 12865440209. The reversal of 12865440200 is 204456821.

It is not an unprimeable number, because it can be changed into a prime (12865440209) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3898151 + ... + 3901449.

It is an arithmetic number, because the mean of its divisors is an integer number (174933000).

Almost surely, 212865440200 is an apocalyptic number.

12865440200 is a gapful number since it is divisible by the number (10) 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 12865440200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16793568000).

12865440200 is an abundant number, since it is smaller than the sum of its proper divisors (20721695800).

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

12865440200 is a wasteful number, since it uses less digits than its factorization.

12865440200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3400 (or 3391 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The spelling of 12865440200 in words is "twelve billion, eight hundred sixty-five million, four hundred forty thousand, two hundred".