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12899632000 = 27531942433
BaseRepresentation
bin11000000001110000…
…01100001110000000
31020021222221012110011
430000320030032000
5202404301211000
65532003514304
7634444030363
oct140070141600
936258835404
1012899632000
11551a5624a2
122600088994
1312a765c858
148a52c00da
155077282ba
hex300e0c380

12899632000 has 128 divisors (see below), whose sum is σ = 33760490400. Its totient is φ = 4888166400.

The previous prime is 12899631989. The next prime is 12899632027. The reversal of 12899632000 is 23699821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a zygodrome in base 2.

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, 282784 + ... + 325216.

Almost surely, 212899632000 is an apocalyptic number.

12899632000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12899632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16880245200).

12899632000 is an abundant number, since it is smaller than the sum of its proper divisors (20860858400).

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

12899632000 is an equidigital number, since it uses as much as digits as its factorization.

12899632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42481 (or 42459 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The spelling of 12899632000 in words is "twelve billion, eight hundred ninety-nine million, six hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 125 128 152 160 190 200 250 304 320 380 400 475 500 608 640 760 800 950 1000 1216 1520 1600 1900 2000 2375 2432 3040 3200 3800 4000 4750 6080 7600 8000 9500 12160 15200 16000 19000 30400 38000 42433 60800 76000 84866 152000 169732 212165 304000 339464 424330 678928 806227 848660 1060825 1357856 1612454 1697320 2121650 2715712 3224908 3394640 4031135 4243300 5304125 5431424 6449816 6789280 8062270 8486600 10608250 12899632 13578560 16124540 16973200 20155675 21216500 25799264 27157120 32249080 33946400 40311350 42433000 51598528 64498160 67892800 80622700 84866000 100778375 103197056 128996320 135785600 161245400 169732000 201556750 257992640 322490800 339464000 403113500 515985280 644981600 678928000 806227000 1289963200 1612454000 2579926400 3224908000 6449816000 12899632000