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12853697200 = 2452237971753
BaseRepresentation
bin10111111100010001…
…11101101010110000
31020011210111110202021
423332020331222300
5202311021302300
65523243201224
7633345423601
oct137610755260
936153443667
1012853697200
1154a6638a53
1225a8816214
13129ac988b6
1489d163da8
155036a2d1a
hex2fe23dab0

12853697200 has 120 divisors (see below), whose sum is σ = 32282496288. Its totient is φ = 4908963840.

The previous prime is 12853697191. The next prime is 12853697221. The reversal of 12853697200 is 279635821.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 7331524 + ... + 7333276.

Almost surely, 212853697200 is an apocalyptic number.

12853697200 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 12853697200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16141248144).

12853697200 is an abundant number, since it is smaller than the sum of its proper divisors (19428799088).

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

12853697200 is a wasteful number, since it uses less digits than its factorization.

12853697200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2591 (or 2580 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 12853697200 in words is "twelve billion, eight hundred fifty-three million, six hundred ninety-seven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 184 200 230 368 400 460 575 797 920 1150 1594 1753 1840 2300 3188 3506 3985 4600 6376 7012 7970 8765 9200 12752 14024 15940 17530 18331 19925 28048 31880 35060 36662 39850 40319 43825 63760 70120 73324 79700 80638 87650 91655 140240 146648 159400 161276 175300 183310 201595 293296 318800 322552 350600 366620 403190 458275 645104 701200 733240 806380 916550 1007975 1397141 1466480 1612760 1833100 2015950 2794282 3225520 3666200 4031900 5588564 6985705 7332400 8063800 11177128 13971410 16127600 22354256 27942820 32134243 34928525 55885640 64268486 69857050 111771280 128536972 139714100 160671215 257073944 279428200 321342430 514147888 558856400 642684860 803356075 1285369720 1606712150 2570739440 3213424300 6426848600 12853697200