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13318399185 = 3572133973511
BaseRepresentation
bin11000110011101011…
…01010010011010001
31021101011220210000220
430121311222103101
5204234002233220
610041323303253
7651020345100
oct143165522321
937334823026
1013318399185
115714986483
1226b837ab29
1313433423a0
14904b6c037
1552e397540
hex319d6a4d1

13318399185 has 96 divisors (see below), whose sum is σ = 26770205952. Its totient is φ = 5604318720.

The previous prime is 13318399153. The next prime is 13318399207. The reversal of 13318399185 is 58199381331.

13318399185 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13318399185 - 25 = 13318399153 is a prime.

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 95 ways as a sum of consecutive naturals, for example, 3791580 + ... + 3795090.

It is an arithmetic number, because the mean of its divisors is an integer number (278856312).

Almost surely, 213318399185 is an apocalyptic number.

13318399185 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13318399185 is an abundant number, since it is smaller than the sum of its proper divisors (13451806767).

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

13318399185 is a wasteful number, since it uses less digits than its factorization.

13318399185 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3943 (or 3936 counting only the distinct ones).

The product of its digits is 699840, while the sum is 51.

The spelling of 13318399185 in words is "thirteen billion, three hundred eighteen million, three hundred ninety-nine thousand, one hundred eighty-five".

Divisors: 1 3 5 7 13 15 21 35 39 49 65 91 105 147 195 245 273 397 455 637 735 1191 1365 1911 1985 2779 3185 3511 5161 5955 8337 9555 10533 13895 15483 17555 19453 24577 25805 36127 41685 45643 52665 58359 73731 77415 97265 108381 122885 136929 172039 180635 228215 252889 291795 319501 368655 516117 541905 684645 758667 860195 958503 1264445 1393867 1597505 2236507 2580585 3793335 4181601 4792515 6709521 6969335 9757069 11182535 18120271 20908005 29271207 33547605 48785345 54360813 68299483 90601355 126841897 146356035 204898449 271804065 341497415 380525691 634209485 887893279 1024492245 1902628455 2663679837 4439466395 13318399185