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13244405200 = 24521319912799
BaseRepresentation
bin11000101010110110…
…11001010111010000
31021012000200111100221
430111123121113100
5204111031431300
610030121322424
7646131405145
oct142533312720
937160614327
1013244405200
115687137724
122697636414
131330c05970
148d8dca3cc
15527b2d31a
hex3156d95d0

13244405200 has 120 divisors (see below), whose sum is σ = 34442240000. Its totient is φ = 4865287680.

The previous prime is 13244405191. The next prime is 13244405231. The reversal of 13244405200 is 250444231.

It is a happy number.

13244405200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 23 ways as a sum of consecutive naturals, for example, 1028401 + ... + 1041199.

Almost surely, 213244405200 is an apocalyptic number.

13244405200 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 13244405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17221120000).

13244405200 is an abundant number, since it is smaller than the sum of its proper divisors (21197834800).

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

13244405200 is a wasteful number, since it uses less digits than its factorization.

13244405200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13029 (or 13018 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 13244405200 its reverse (250444231), we get a palindrome (13494849431).

The spelling of 13244405200 in words is "thirteen billion, two hundred forty-four million, four hundred five thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 199 200 208 260 325 398 400 520 650 796 995 1040 1300 1592 1990 2587 2600 3184 3980 4975 5174 5200 7960 9950 10348 12799 12935 15920 19900 20696 25598 25870 39800 41392 51196 51740 63995 64675 79600 102392 103480 127990 129350 166387 204784 206960 255980 258700 319975 332774 511960 517400 639950 665548 831935 1023920 1034800 1279900 1331096 1663870 2547001 2559800 2662192 3327740 4159675 5094002 5119600 6655480 8319350 10188004 12735005 13310960 16638700 20376008 25470010 33111013 33277400 40752016 50940020 63675025 66222026 66554800 101880040 127350050 132444052 165555065 203760080 254700100 264888104 331110130 509400200 529776208 662220260 827775325 1018800400 1324440520 1655550650 2648881040 3311101300 6622202600 13244405200