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14248763865 = 345729712441
BaseRepresentation
bin11010100010100101…
…01110000111011001
31100210000120012110000
431101102232013121
5213140140420430
610313520243213
71013045331420
oct152122560731
940700505400
1014248763865
116052068206
122917a70509
13146100aa2b
149925502b7
15585dc0e60
hex3514ae1d9

14248763865 has 160 divisors (see below), whose sum is σ = 30635573760. Its totient is φ = 6197990400.

The previous prime is 14248763861. The next prime is 14248763897. The reversal of 14248763865 is 56836784241.

It is a happy number.

14248763865 is a `hidden beast` number, since 1 + 42 + 487 + 63 + 8 + 65 = 666.

14248763865 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 14248763865 - 22 = 14248763861 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (14248763861) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 5836045 + ... + 5838485.

It is an arithmetic number, because the mean of its divisors is an integer number (191472336).

Almost surely, 214248763865 is an apocalyptic number.

14248763865 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14248763865 is an abundant number, since it is smaller than the sum of its proper divisors (16386809895).

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

14248763865 is a wasteful number, since it uses less digits than its factorization.

14248763865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2565 (or 2556 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 14248763865 in words is "fourteen billion, two hundred forty-eight million, seven hundred sixty-three thousand, eight hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 27 29 35 45 63 71 81 87 105 135 145 189 203 213 261 315 355 405 435 497 567 609 639 783 945 1015 1065 1305 1491 1827 1917 2059 2349 2441 2485 2835 3045 3195 3915 4473 5481 5751 6177 7323 7455 9135 9585 10295 11745 12205 13419 14413 16443 17087 18531 21969 22365 27405 28755 30885 36615 40257 43239 51261 55593 65907 67095 70789 72065 82215 85435 92655 109845 129717 153783 166779 173311 197721 201285 212367 216195 256305 277965 329535 353945 389151 461349 495523 519933 637101 648585 768915 833895 866555 988605 1061835 1167453 1213177 1384047 1486569 1559799 1911303 1945755 2306745 2477615 2599665 3185505 3639531 4459707 4679397 5026019 5733909 5837265 6065885 6920235 7432845 7798995 9556515 10918593 13379121 14038191 15078057 18197655 22298535 23396985 25130095 28669545 32755779 35182133 40137363 45234171 54592965 66895605 70190955 75390285 98267337 105546399 135702513 163778895 175910665 200686815 226170855 316639197 407107539 491336685 527731995 678512565 949917591 1583195985 2035537695 2849752773 4749587955 14248763865