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13931981758248 = 23341101923915173
BaseRepresentation
bin1100101010111100101011…
…0100101101111100101000
31211022212212202121021010120
43022233022310231330220
53311230144312230443
645344133012043240
72635360332005541
oct312571264557450
954285782537116
1013931981758248
11449157a550954
121690140603520
137a0a1b267918
14362450b234c8
1519260979a083
hexcabcad2df28

13931981758248 has 128 divisors (see below), whose sum is σ = 36039002630400. Its totient is φ = 4485085952000.

The previous prime is 13931981758243. The next prime is 13931981758283. The reversal of 13931981758248 is 84285718913931.

It is a happy number.

It is a Cunningham number, because it is equal to 37325572-1.

It is not an unprimeable number, because it can be changed into a prime (13931981758243) 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, 918201190 + ... + 918216362.

It is an arithmetic number, because the mean of its divisors is an integer number (281554708050).

Almost surely, 213931981758248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13931981758248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18019501315200).

13931981758248 is an abundant number, since it is smaller than the sum of its proper divisors (22107020872152).

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

13931981758248 is a wasteful number, since it uses less digits than its factorization.

13931981758248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24563 (or 24559 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 69.

The spelling of 13931981758248 in words is "thirteen trillion, nine hundred thirty-one billion, nine hundred eighty-one million, seven hundred fifty-eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 41 82 101 123 164 202 246 303 328 404 492 606 808 984 1212 2424 4141 8282 9239 12423 15173 16564 18478 24846 27717 30346 33128 36956 45519 49692 55434 60692 73912 91038 99384 110868 121384 182076 221736 364152 378799 622093 757598 933139 1136397 1244186 1515196 1532473 1866278 1866279 2272794 2488372 2799417 3030392 3064946 3732556 3732558 4545588 4597419 4976744 5598834 6129892 7465112 7465116 9091176 9194838 11197668 12259784 14930232 18389676 22395336 36779352 38258699 62831393 76517398 114776097 125662786 140183347 153034796 188494179 229552194 251325572 280366694 306069592 376988358 420550041 459104388 502651144 560733388 753976716 841100082 918208776 1121466776 1507953432 1682200164 3364400328 5747517227 11495034454 14158518047 17242551681 22990068908 28317036094 34485103362 42475554141 45980137816 56634072188 68970206724 84951108282 113268144376 137940413448 169902216564 339804433128 580499239927 1160998479854 1741497719781 2321996959708 3482995439562 4643993919416 6965990879124 13931981758248