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14074871769 = 35725472161
BaseRepresentation
bin11010001101110110…
…10111111111011001
31100022220100120100000
431012323113333121
5212311131344034
610244345203213
71005534302400
oct150673277731
940286316300
1014074871769
115a72997532
122889790509
131433c94cba
14977406637
155759c2599
hex346ed7fd9

14074871769 has 72 divisors (see below), whose sum is σ = 24581732448. Its totient is φ = 8024365440.

The previous prime is 14074871729. The next prime is 14074871773. The reversal of 14074871769 is 96717847041.

It is a happy number.

14074871769 is a `hidden beast` number, since 140 + 7 + 487 + 17 + 6 + 9 = 666.

It is not a de Polignac number, because 14074871769 - 27 = 14074871641 is a prime.

It is a super-2 number, since 2×140748717692 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14074871719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6512049 + ... + 6514209.

Almost surely, 214074871769 is an apocalyptic number.

It is an amenable number.

14074871769 is a deficient number, since it is larger than the sum of its proper divisors (10506860679).

14074871769 is an equidigital number, since it uses as much as digits as its factorization.

14074871769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2737 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 14074871769 in words is "fourteen billion, seventy-four million, eight hundred seventy-one thousand, seven hundred sixty-nine".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 441 547 567 1323 1641 1701 2161 3829 3969 4923 6483 11487 11907 14769 15127 19449 26803 34461 44307 45381 58347 80409 103383 105889 132921 136143 175041 241227 310149 317667 408429 525123 723681 930447 953001 1182067 1225287 2171043 2859003 3546201 3675861 6513129 8274469 8577009 10638603 24823407 25731027 31915809 57921283 74470221 95747427 173763849 223410663 287242281 521291547 670231989 1563874641 2010695967 4691623923 14074871769