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13720478850 = 23252136593559
BaseRepresentation
bin11001100011100110…
…11110010010000010
31022102012111112122100
430301303132102002
5211044420310400
610145245251230
7664002101031
oct146163362202
938365445570
1013720478850
115900941921
1227aab63b16
1313a8731450
14942314718
1555481c100
hex331cde482

13720478850 has 144 divisors (see below), whose sum is σ = 39769329600. Its totient is φ = 3371276160.

The previous prime is 13720478839. The next prime is 13720478879. The reversal of 13720478850 is 5887402731.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 13720478796 and 13720478805.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3853371 + ... + 3856929.

It is an arithmetic number, because the mean of its divisors is an integer number (276175900).

Almost surely, 213720478850 is an apocalyptic number.

13720478850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13720478850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19884664800).

13720478850 is an abundant number, since it is smaller than the sum of its proper divisors (26048850750).

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

13720478850 is a wasteful number, since it uses less digits than its factorization.

13720478850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4249 (or 4241 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 13720478850 in words is "thirteen billion, seven hundred twenty million, four hundred seventy-eight thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 195 225 234 325 390 450 585 650 659 975 1170 1318 1950 1977 2925 3295 3559 3954 5850 5931 6590 7118 8567 9885 10677 11862 16475 17134 17795 19770 21354 25701 29655 32031 32950 35590 42835 46267 49425 51402 53385 59310 64062 77103 85670 88975 92534 98850 106770 128505 138801 148275 154206 160155 177950 214175 231335 257010 266925 277602 296550 320310 385515 416403 428350 462670 533850 642525 694005 771030 800775 832806 1156675 1285050 1388010 1601550 1927575 2082015 2313350 2345381 3470025 3855150 4164030 4690762 6940050 7036143 10410075 11726905 14072286 20820150 21108429 23453810 30489953 35180715 42216858 58634525 60979906 70361430 91469859 105542145 117269050 152449765 175903575 182939718 211084290 274409577 304899530 351807150 457349295 527710725 548819154 762248825 914698590 1055421450 1372047885 1524497650 2286746475 2744095770 4573492950 6860239425 13720478850