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12416111666260 = 22517411697524857
BaseRepresentation
bin1011010010101101100111…
…1011001110010001010100
31121221222011011120220220021
42310223121323032101110
53111411144041310020
642223514415114524
72421014551555321
oct264533173162124
947858134526807
1012416111666260
113a57709391565
1214863aa812a44
136c0aacc80a53
1430cd2b89db48
15167e8901b1aa
hexb4ad9ece454

12416111666260 has 96 divisors (see below), whose sum is σ = 28297664484768. Its totient is φ = 4557597573120.

The previous prime is 12416111666237. The next prime is 12416111666263. The reversal of 12416111666260 is 6266611161421.

It can be written as a sum of positive squares in 16 ways, for example, as 270370880784 + 12145740785476 = 519972^2 + 3485074^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12416111666263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23393752 + ... + 23918608.

It is an arithmetic number, because the mean of its divisors is an integer number (294767338383).

Almost surely, 212416111666260 is an apocalyptic number.

12416111666260 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 12416111666260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14148832242384).

12416111666260 is an abundant number, since it is smaller than the sum of its proper divisors (15881552818508).

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

12416111666260 is a wasteful number, since it uses less digits than its factorization.

12416111666260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526621 (or 526619 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The spelling of 12416111666260 in words is "twelve trillion, four hundred sixteen billion, one hundred eleven million, six hundred sixty-six thousand, two hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 41 68 82 85 164 170 205 340 410 697 820 1394 1697 2788 3394 3485 6788 6970 8485 13940 16970 28849 33940 57698 69577 115396 139154 144245 278308 288490 347885 524857 576980 695770 1049714 1182809 1391540 2099428 2365618 2624285 4731236 5248570 5914045 8922569 10497140 11828090 17845138 21519137 23656180 35690276 43038274 44612845 86076548 89225690 107595685 178451380 215191370 365825329 430382740 731650658 890682329 1463301316 1781364658 1829126645 3562729316 3658253290 4453411645 7316506580 8906823290 15141599593 17813646580 30283199186 36517975489 60566398372 73035950978 75707997965 146071901956 151415995930 182589877445 302831991860 365179754890 620805583313 730359509780 1241611166626 2483222333252 3104027916565 6208055833130 12416111666260