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12032552000 = 26537214867
BaseRepresentation
bin10110011010011001…
…00010110001000000
31011001120100222022002
423031030202301000
5144120313131000
65305551203132
7604115001350
oct131514426100
934046328262
1012032552000
115115075457
1223b98164a8
131199b21271
14822092b60
154a65508d5
hex2cd322c40

12032552000 has 112 divisors (see below), whose sum is σ = 34055718528. Its totient is φ = 4125427200.

The previous prime is 12032551987. The next prime is 12032552053. The reversal of 12032552000 is 25523021.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 51434 + ... + 163433.

Almost surely, 212032552000 is an apocalyptic number.

12032552000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12032552000 is an abundant number, since it is smaller than the sum of its proper divisors (22023166528).

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

12032552000 is an equidigital number, since it uses as much as digits as its factorization.

12032552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214901 (or 214881 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The spelling of 12032552000 in words is "twelve billion, thirty-two million, five hundred fifty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 140 160 175 200 224 250 280 320 350 400 448 500 560 700 800 875 1000 1120 1400 1600 1750 2000 2240 2800 3500 4000 5600 7000 8000 11200 14000 28000 56000 214867 429734 859468 1074335 1504069 1718936 2148670 3008138 3437872 4297340 5371675 6016276 6875744 7520345 8594680 10743350 12032552 13751488 15040690 17189360 21486700 24065104 26858375 30081380 34378720 37601725 42973400 48130208 53716750 60162760 68757440 75203450 85946800 96260416 107433500 120325520 150406900 171893600 188008625 214867000 240651040 300813800 343787200 376017250 429734000 481302080 601627600 752034500 859468000 1203255200 1504069000 1718936000 2406510400 3008138000 6016276000 12032552000