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13287103680 = 263523601771
BaseRepresentation
bin11000101111111100…
…10001110011000000
31021022000000210200010
430113332101303000
5204202444304210
610034244424520
7650160342414
oct142776216300
937260023603
1013287103680
1156a9250724
1226a99a8140
131339a05836
14900942d44
1552b764920
hex317f91cc0

13287103680 has 112 divisors (see below), whose sum is σ = 44020825344. Its totient is φ = 3389168640.

The previous prime is 13287103679. The next prime is 13287103691. The reversal of 13287103680 is 8630178231.

13287103680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278806 + ... + 322965.

Almost surely, 213287103680 is an apocalyptic number.

13287103680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13287103680 is an abundant number, since it is smaller than the sum of its proper divisors (30733721664).

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

13287103680 is a wasteful number, since it uses less digits than its factorization.

13287103680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601814 (or 601804 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 13287103680 in words is "thirteen billion, two hundred eighty-seven million, one hundred three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 138 160 184 192 230 240 276 320 345 368 460 480 552 690 736 920 960 1104 1380 1472 1840 2208 2760 3680 4416 5520 7360 11040 22080 601771 1203542 1805313 2407084 3008855 3610626 4814168 6017710 7221252 9026565 9628336 12035420 13840733 14442504 18053130 19256672 24070840 27681466 28885008 36106260 38513344 41522199 48141680 55362932 57770016 69203665 72212520 83044398 96283360 110725864 115540032 138407330 144425040 166088796 192566720 207610995 221451728 276814660 288850080 332177592 415221990 442903456 553629320 577700160 664355184 830443980 885806912 1107258640 1328710368 1660887960 2214517280 2657420736 3321775920 4429034560 6643551840 13287103680