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13706689200 = 2435211422241
BaseRepresentation
bin11001100001111101…
…10111101010110000
31022101020112221210120
430300332313222300
5211032403023300
610144033530240
7663443636001
oct146076675260
938336487716
1013706689200
1158a4083516
1227a6413980
1313a59139a9
149405651a8
155534e63a0
hex330fb7ab0

13706689200 has 60 divisors (see below), whose sum is σ = 43907098248. Its totient is φ = 3655116800.

The previous prime is 13706689163. The next prime is 13706689211. The reversal of 13706689200 is 298660731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

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 11 ways as a sum of consecutive naturals, for example, 5709921 + ... + 5712320.

Almost surely, 213706689200 is an apocalyptic number.

13706689200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13706689200 is an abundant number, since it is smaller than the sum of its proper divisors (30200409048).

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

13706689200 is a wasteful number, since it uses less digits than its factorization.

13706689200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11422262 (or 11422251 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 13706689200 in words is "thirteen billion, seven hundred six million, six hundred eighty-nine thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 11422241 22844482 34266723 45688964 57111205 68533446 91377928 114222410 137066892 171333615 182755856 228444820 274133784 285556025 342667230 456889640 548267568 571112050 685334460 856668075 913779280 1142224100 1370668920 1713336150 2284448200 2741337840 3426672300 4568896400 6853344600 13706689200