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12094638000 = 2435310718839
BaseRepresentation
bin10110100001110010…
…11000011110110000
31011012220012021021120
423100321120132300
5144232211404000
65320050022240
7605500504164
oct132071303660
934186167246
1012094638000
1151471205a5
122416577980
1311a994b843
1482a414ca4
154abc166a0
hex2d0e587b0

12094638000 has 160 divisors (see below), whose sum is σ = 39359623680. Its totient is φ = 3194924800.

The previous prime is 12094637939. The next prime is 12094638053. The reversal of 12094638000 is 83649021.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 632581 + ... + 651419.

It is an arithmetic number, because the mean of its divisors is an integer number (245997648).

Almost surely, 212094638000 is an apocalyptic number.

12094638000 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 12094638000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19679811840).

12094638000 is an abundant number, since it is smaller than the sum of its proper divisors (27264985680).

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

12094638000 is a wasteful number, since it uses less digits than its factorization.

12094638000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18972 (or 18956 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 12094638000 in words is "twelve billion, ninety-four 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 80 100 107 120 125 150 200 214 240 250 300 321 375 400 428 500 535 600 642 750 856 1000 1070 1200 1284 1500 1605 1712 2000 2140 2568 2675 3000 3210 4280 5136 5350 6000 6420 8025 8560 10700 12840 13375 16050 18839 21400 25680 26750 32100 37678 40125 42800 53500 56517 64200 75356 80250 94195 107000 113034 128400 150712 160500 188390 214000 226068 282585 301424 321000 376780 452136 470975 565170 642000 753560 904272 941950 1130340 1412925 1507120 1883900 2015773 2260680 2354875 2825850 3767800 4031546 4521360 4709750 5651700 6047319 7064625 7535600 8063092 9419500 10078865 11303400 12094638 14129250 16126184 18839000 20157730 22606800 24189276 28258500 30236595 32252368 37678000 40315460 48378552 50394325 56517000 60473190 80630920 96757104 100788650 113034000 120946380 151182975 161261840 201577300 241892760 251971625 302365950 403154600 483785520 503943250 604731900 755914875 806309200 1007886500 1209463800 1511829750 2015773000 2418927600 3023659500 4031546000 6047319000 12094638000