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14075373564 = 2235711318307
BaseRepresentation
bin11010001101111010…
…10010011111111100
31100022221022001200000
431012331102133330
5212311243423224
610244404034300
71005541462350
oct150675223774
940287261600
1014075373564
115a731aa53a
122889992990
13143410c515
149774d7460
15575a710c9
hex346f527fc

14075373564 has 144 divisors (see below), whose sum is σ = 42543691008. Its totient is φ = 3985728768.

The previous prime is 14075373547. The next prime is 14075373581. The reversal of 14075373564 is 46537357041.

14075373564 is a `hidden beast` number, since 14 + 0 + 7 + 5 + 3 + 73 + 564 = 666.

It is an interprime number because it is at equal distance from previous prime (14075373547) and next prime (14075373581).

It is a super-2 number, since 2×140753735642 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 759699 + ... + 778005.

Almost surely, 214075373564 is an apocalyptic number.

14075373564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14075373564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21271845504).

14075373564 is an abundant number, since it is smaller than the sum of its proper divisors (28468317444).

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

14075373564 is a wasteful number, since it uses less digits than its factorization.

14075373564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18446 (or 18432 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 14075373564 in words is "fourteen billion, seventy-five million, three hundred seventy-three thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 113 126 162 189 226 243 252 324 339 378 452 486 567 678 756 791 972 1017 1134 1356 1582 1701 2034 2268 2373 3051 3164 3402 4068 4746 6102 6804 7119 9153 9492 12204 14238 18306 18307 21357 27459 28476 36612 36614 42714 54918 54921 64071 73228 85428 109836 109842 128142 128149 164763 192213 219684 256284 256298 329526 384426 384447 494289 512596 659052 768852 768894 988578 1153341 1482867 1537788 1977156 2068691 2306682 2965734 3460023 4137382 4448601 4613364 5931468 6206073 6920046 8274764 8897202 10380069 12412146 13840092 14480837 17794404 18618219 20760138 24824292 28961674 31140207 37236438 41520276 43442511 55854657 57923348 62280414 74472876 86885022 111709314 124560828 130327533 167563971 173770044 223418628 260655066 335127942 390982599 502691913 521310132 670255884 781965198 1005383826 1172947797 1563930396 2010767652 2345895594 3518843391 4691791188 7037686782 14075373564