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12805638000 = 243532134273
BaseRepresentation
bin10111110110100011…
…01000011101110000
31020001110001210220220
423323101220131300
5202211220404000
65514405133040
7632223061401
oct137321503560
936043053826
1012805638000
1154814a3401
1225946ba180
13129103c9bc
14896a139a8
154ee35d1a0
hex2fb468770

12805638000 has 80 divisors (see below), whose sum is σ = 41285396256. Its totient is φ = 3414835200.

The previous prime is 12805637981. The next prime is 12805638023. The reversal of 12805638000 is 83650821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1061137 + ... + 1073136.

Almost surely, 212805638000 is an apocalyptic number.

12805638000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12805638000 is an abundant number, since it is smaller than the sum of its proper divisors (28479758256).

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

12805638000 is a wasteful number, since it uses less digits than its factorization.

12805638000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2134299 (or 2134283 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 12805638000 in words is "twelve billion, eight hundred five million, six hundred thirty-eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 2134273 4268546 6402819 8537092 10671365 12805638 17074184 21342730 25611276 32014095 34148368 42685460 51222552 53356825 64028190 85370920 102445104 106713650 128056380 160070475 170741840 213427300 256112760 266784125 320140950 426854600 512225520 533568250 640281900 800352375 853709200 1067136500 1280563800 1600704750 2134273000 2561127600 3201409500 4268546000 6402819000 12805638000