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13320254475 = 32521119594801
BaseRepresentation
bin11000110011111001…
…01111010000001011
31021101022102001000100
430121330233100023
5204234441120400
610041431140443
7651042203103
oct143174572013
937338361010
1013320254475
115715a33380
1226b8b14723
1313438419a8
149050d2203
1552e612100
hex319f2f40b

13320254475 has 144 divisors (see below), whose sum is σ = 27866966400. Its totient is φ = 6013440000.

The previous prime is 13320254473. The next prime is 13320254483. The reversal of 13320254475 is 57445202331.

13320254475 is a `hidden beast` number, since 1 + 3 + 3 + 202 + 5 + 447 + 5 = 666.

It is not a de Polignac number, because 13320254475 - 21 = 13320254473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13320254473) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2772075 + ... + 2776875.

It is an arithmetic number, because the mean of its divisors is an integer number (193520600).

Almost surely, 213320254475 is an apocalyptic number.

13320254475 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13320254475 is an abundant number, since it is smaller than the sum of its proper divisors (14546711925).

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

13320254475 is a wasteful number, since it uses less digits than its factorization.

13320254475 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4906 (or 4898 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 13320254475 in words is "thirteen billion, three hundred twenty million, two hundred fifty-four thousand, four hundred seventy-five".

Divisors: 1 3 5 9 11 15 19 25 33 45 55 57 59 75 95 99 165 171 177 209 225 275 285 295 475 495 531 627 649 825 855 885 1045 1121 1425 1475 1881 1947 2475 2655 3135 3245 3363 4275 4425 4801 5225 5605 5841 9405 9735 10089 12331 13275 14403 15675 16225 16815 24005 28025 29205 36993 43209 47025 48675 50445 52811 61655 72015 84075 91219 110979 120025 146025 158433 184965 216045 252225 264055 273657 283259 308275 360075 456095 475299 554895 792165 820971 849777 924825 1003409 1080225 1320275 1368285 1416295 2280475 2376495 2549331 2774475 3010227 3115849 3960825 4104855 4248885 5017045 5381921 6841425 7081475 9030681 9347547 11882475 12746655 15051135 15579245 16145763 20524275 21244425 25085225 26909605 28042641 45153405 46737735 48437289 59201131 63733275 75255675 77896225 80728815 134548025 140213205 177603393 225767025 233688675 242186445 296005655 403644075 532810179 701066025 888016965 1210932225 1480028275 2664050895 4440084825 13320254475