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20496408000 = 26353854017
BaseRepresentation
bin10011000101101011…
…100101110111000000
31221220102121102000020
4103011223211313000
5313434040024000
613225501053440
71323630410355
oct230553456700
957812542006
1020496408000
118768762772
123b80257280
131c184a2a93
14dc61c462c
157ee624ba0
hex4c5ae5dc0

20496408000 has 112 divisors (see below), whose sum is σ = 67679218464. Its totient is φ = 5465702400.

The previous prime is 20496407983. The next prime is 20496408011. The reversal of 20496408000 is 80469402.

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 15 ways as a sum of consecutive naturals, for example, 403009 + ... + 451008.

Almost surely, 220496408000 is an apocalyptic number.

20496408000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20496408000 is an abundant number, since it is smaller than the sum of its proper divisors (47182810464).

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

20496408000 is an equidigital number, since it uses as much as digits as its factorization.

20496408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854047 (or 854027 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 20496408000 in words is "twenty billion, four hundred ninety-six million, four hundred eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 750 800 960 1000 1200 1500 1600 2000 2400 3000 4000 4800 6000 8000 12000 24000 854017 1708034 2562051 3416068 4270085 5124102 6832136 8540170 10248204 12810255 13664272 17080340 20496408 21350425 25620510 27328544 34160680 40992816 42700850 51241020 54657088 64051275 68321360 81985632 85401700 102482040 106752125 128102550 136642720 163971264 170803400 204964080 213504250 256205100 273285440 320256375 341606800 409928160 427008500 512410200 640512750 683213600 819856320 854017000 1024820400 1281025500 1366427200 1708034000 2049640800 2562051000 3416068000 4099281600 5124102000 6832136000 10248204000 20496408000