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13980417075 = 3352171964123
BaseRepresentation
bin11010000010100110…
…00011110000110011
31100002022121202212000
431001103003300303
5212112441321300
610231132505043
71003306404312
oct150123036063
940068552760
1013980417075
115a246432a9
12286201b183
13141a543551
14968a5a279
1556c565c00
hex3414c3c33

13980417075 has 96 divisors (see below), whose sum is σ = 28624953600. Its totient is φ = 6648168960.

The previous prime is 13980417053. The next prime is 13980417127. The reversal of 13980417075 is 57071408931.

It is not a de Polignac number, because 13980417075 - 211 = 13980415027 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13980417075.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 185964 + ... + 250086.

It is an arithmetic number, because the mean of its divisors is an integer number (298176600).

Almost surely, 213980417075 is an apocalyptic number.

13980417075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13980417075 is an abundant number, since it is smaller than the sum of its proper divisors (14644536525).

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

13980417075 is a wasteful number, since it uses less digits than its factorization.

13980417075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64178 (or 64167 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 13980417075 in words is "thirteen billion, nine hundred eighty million, four hundred seventeen thousand, seventy-five".

Divisors: 1 3 5 9 15 17 19 25 27 45 51 57 75 85 95 135 153 171 225 255 285 323 425 459 475 513 675 765 855 969 1275 1425 1615 2295 2565 2907 3825 4275 4845 8075 8721 11475 12825 14535 24225 43605 64123 72675 192369 218025 320615 577107 961845 1090091 1218337 1603075 1731321 2885535 3270273 3655011 4809225 5450455 6091685 8656605 9810819 10965033 14427675 16351365 18275055 20711729 27252275 29432457 30458425 32895099 43283025 49054095 54825165 62135187 81756825 91375275 103558645 147162285 164475495 186405561 245270475 274125825 310675935 517793225 559216683 735811425 822377475 932027805 1553379675 2796083415 4660139025 13980417075