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11994614496312 = 23372411078127479
BaseRepresentation
bin1010111010001011011010…
…1111000111110000111000
31120110200012022022011120220
42232202312233013300320
53033004432302340222
641302125544020040
72345403505000410
oct256426657076070
946420168264526
1011994614496312
113904984203208
121418778161620
13690119a26a06
142d678464b640
1515c01a21ab5c
hexae8b6bc7c38

11994614496312 has 128 divisors (see below), whose sum is σ = 34416972057600. Its totient is φ = 3412371916800.

The previous prime is 11994614496289. The next prime is 11994614496313. The reversal of 11994614496312 is 21369441649911.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11994614496313) 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, 436487389 + ... + 436514867.

It is an arithmetic number, because the mean of its divisors is an integer number (268882594200).

Almost surely, 211994614496312 is an apocalyptic number.

11994614496312 is a gapful number since it is divisible by the number (12) 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 11994614496312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17208486028800).

11994614496312 is an abundant number, since it is smaller than the sum of its proper divisors (22422357561288).

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

11994614496312 is a wasteful number, since it uses less digits than its factorization.

11994614496312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38517 (or 38513 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 60.

The spelling of 11994614496312 in words is "eleven trillion, nine hundred ninety-four billion, six hundred fourteen million, four hundred ninety-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 241 482 723 964 1446 1687 1928 2892 3374 5061 5784 6748 10122 10781 13496 20244 21562 27479 32343 40488 43124 54958 64686 75467 82437 86248 109916 129372 150934 164874 192353 219832 226401 258744 301868 329748 384706 452802 577059 603736 659496 769412 905604 1154118 1538824 1811208 2308236 2598221 4616472 5196442 6622439 7794663 10392884 13244878 15589326 18187547 19867317 20785768 26489756 31178652 36375094 39734634 46357073 52979512 54562641 62357304 72750188 79469268 92714146 109125282 139071219 145500376 158938536 185428292 218250564 278142438 296251099 370856584 436501128 556284876 592502198 888753297 1112569752 1185004396 1777506594 2073757693 2370008792 3555013188 4147515386 6221273079 7110026376 8295030772 12442546158 16590061544 24885092316 49770184632 71396514859 142793029718 214189544577 285586059436 428379089154 499775604013 571172118872 856758178308 999551208026 1499326812039 1713516356616 1999102416052 2998653624078 3998204832104 5997307248156 11994614496312