Search a number
-
+
14529016675635 = 3571171224378989
BaseRepresentation
bin1101001101101100110011…
…1000001011110100110011
31220102221221011010111221020
43103123030320023310303
53401020411232110020
650522312122230523
73026454402040050
oct323331470136463
956387834114836
1014529016675635
1146a17a3162a50
1217679a2355443
13815107817b77
143832cb290027
151a2dee16ec40
hexd36cce0bd33

14529016675635 has 128 divisors (see below), whose sum is σ = 29404238561280. Its totient is φ = 5950260825600.

The previous prime is 14529016675633. The next prime is 14529016675637. The reversal of 14529016675635 is 53657661092541.

It is an interprime number because it is at equal distance from previous prime (14529016675633) and next prime (14529016675637).

It is not a de Polignac number, because 14529016675635 - 21 = 14529016675633 is a prime.

It is a super-2 number, since 2×145290166756352 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14529016675633) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 183897721 + ... + 183976709.

It is an arithmetic number, because the mean of its divisors is an integer number (229720613760).

Almost surely, 214529016675635 is an apocalyptic number.

14529016675635 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14529016675635 is an abundant number, since it is smaller than the sum of its proper divisors (14875221885645).

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

14529016675635 is a wasteful number, since it uses less digits than its factorization.

14529016675635 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81329.

The product of its (nonzero) digits is 40824000, while the sum is 60.

The spelling of 14529016675635 in words is "fourteen trillion, five hundred twenty-nine billion, sixteen million, six hundred seventy-five thousand, six hundred thirty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 71 77 105 165 213 231 355 385 497 781 1065 1155 1491 2243 2343 2485 3905 5467 6729 7455 11215 11715 15701 16401 24673 27335 33645 47103 74019 78505 78989 82005 123365 159253 172711 235515 236967 370095 394945 477759 518133 552923 796265 863555 868879 1114771 1184835 1658769 1751783 2388795 2590665 2606637 2764615 3344313 4344395 5255349 5573855 5608219 6082153 8293845 8758915 12262481 13033185 16721565 16824657 18246459 26276745 28041095 30410765 36787443 39257533 61312405 61690409 84123285 91232295 117772599 177172327 183937215 185071227 196287665 308452045 431832863 531516981 588862995 885861635 925356135 1240206289 1295498589 1948895597 2159164315 2657584905 3720618867 5846686791 6201031445 6477492945 9744477985 12579235217 13642269179 18603094335 29233433955 37737705651 40926807537 62896176085 68211345895 88054646519 138371587387 188688528255 204634037685 264163939557 415114762161 440273232595 691857936935 968601111709 1320819697785 2075573810805 2905803335127 4843005558545 14529016675635