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13687120320 = 263529274871
BaseRepresentation
bin11001011111101000…
…01110000111000000
31022022212201202100020
430233310032013000
5211012400322240
610142054253440
7663115413606
oct145764160700
938285652306
1013687120320
115894028095
12279b957280
1313a1851883
1493bb0d876
1555192d0d0
hex32fd0e1c0

13687120320 has 112 divisors (see below), whose sum is σ = 43480378368. Its totient is φ = 3647902720.

The previous prime is 13687120313. The next prime is 13687120351. The reversal of 13687120320 is 2302178631.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2807485 + ... + 2812355.

It is an arithmetic number, because the mean of its divisors is an integer number (388217664).

Almost surely, 213687120320 is an apocalyptic number.

13687120320 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 13687120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21740189184).

13687120320 is an abundant number, since it is smaller than the sum of its proper divisors (29793258048).

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

13687120320 is a wasteful number, since it uses less digits than its factorization.

13687120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7818 (or 7808 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

Adding to 13687120320 its reverse (2302178631), we get a palindrome (15989298951).

The spelling of 13687120320 in words is "thirteen billion, six hundred eighty-seven million, one hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 2927 4871 5854 8781 9742 11708 14613 14635 17562 19484 23416 24355 29226 29270 35124 38968 43905 46832 48710 58452 58540 70248 73065 77936 87810 93664 97420 116904 117080 140496 146130 155872 175620 187328 194840 233808 234160 280992 292260 311744 351240 389680 467616 468320 561984 584520 702480 779360 935232 936640 1169040 1404960 1558720 2338080 2809920 4676160 14257417 28514834 42772251 57029668 71287085 85544502 114059336 142574170 171089004 213861255 228118672 285148340 342178008 427722510 456237344 570296680 684356016 855445020 912474688 1140593360 1368712032 1710890040 2281186720 2737424064 3421780080 4562373440 6843560160 13687120320