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20643126000 = 243537491503
BaseRepresentation
bin10011001110011011…
…010001101011110000
31222021122200110021020
4103032123101223300
5314234120013000
613252221455440
71330361450550
oct231633215360
958248613236
1020643126000
118833563112
124001411580
131c3c9c2b73
14ddb897160
1580c456ba0
hex4ce6d1af0

20643126000 has 160 divisors (see below), whose sum is σ = 76061227008. Its totient is φ = 4718419200.

The previous prime is 20643125989. The next prime is 20643126001. The reversal of 20643126000 is 62134602.

It is a super-2 number, since 2×206431260002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20643126001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203752 + ... + 287751.

Almost surely, 220643126000 is an apocalyptic number.

20643126000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20643126000 is an abundant number, since it is smaller than the sum of its proper divisors (55418101008).

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

20643126000 is a wasteful number, since it uses less digits than its factorization.

20643126000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491536 (or 491520 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The spelling of 20643126000 in words is "twenty billion, six hundred forty-three million, one hundred twenty-six thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 125 140 150 168 175 200 210 240 250 280 300 336 350 375 400 420 500 525 560 600 700 750 840 875 1000 1050 1200 1400 1500 1680 1750 2000 2100 2625 2800 3000 3500 4200 5250 6000 7000 8400 10500 14000 21000 42000 491503 983006 1474509 1966012 2457515 2949018 3440521 3932024 4915030 5898036 6881042 7372545 7864048 9830060 10321563 11796072 12287575 13762084 14745090 17202605 19660120 20643126 23592144 24575150 27524168 29490180 34405210 36862725 39320240 41286252 49150300 51607815 55048336 58980360 61437875 68810420 73725450 82572504 86013025 98300600 103215630 117960720 122875750 137620840 147450900 165145008 172026050 184313625 196601200 206431260 245751500 258039075 275241680 294901800 344052100 368627250 412862520 430065125 491503000 516078150 589803600 688104200 737254500 825725040 860130250 983006000 1032156300 1290195375 1376208400 1474509000 1720260500 2064312600 2580390750 2949018000 3440521000 4128625200 5160781500 6881042000 10321563000 20643126000