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14161869200910 = 23519433529163729
BaseRepresentation
bin1100111000010101000100…
…1011101101111000001110
31212010212021000101100100210
43032011101023231320032
53324012002003412120
650041512313503250
72661106215016104
oct316052113557016
955125230340323
1014161869200910
114570018a68092
1217087b9411b26
137b95c652c7c2
1436d61c30dc74
151985b1a12ce0
hexce1512ede0e

14161869200910 has 128 divisors (see below), whose sum is σ = 36619982784000. Its totient is φ = 3493520658432.

The previous prime is 14161869200903. The next prime is 14161869200971. The reversal of 14161869200910 is 1900296816141.

14161869200910 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14161869200910.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86413926 + ... + 86577654.

It is an arithmetic number, because the mean of its divisors is an integer number (286093615500).

Almost surely, 214161869200910 is an apocalyptic number.

14161869200910 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14161869200910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18309991392000).

14161869200910 is an abundant number, since it is smaller than the sum of its proper divisors (22458113583090).

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

14161869200910 is a wasteful number, since it uses less digits than its factorization.

14161869200910 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167330.

The product of its (nonzero) digits is 186624, while the sum is 48.

The spelling of 14161869200910 in words is "fourteen trillion, one hundred sixty-one billion, eight hundred sixty-nine million, two hundred thousand, nine hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 43 57 86 95 114 129 190 215 258 285 430 570 645 817 1290 1634 2451 3529 4085 4902 7058 8170 10587 12255 17645 21174 24510 35290 52935 67051 105870 134102 151747 163729 201153 303494 327458 335255 402306 455241 491187 670510 758735 818645 910482 982374 1005765 1517470 1637290 2011530 2276205 2455935 2883193 3110851 4552410 4911870 5766386 6221702 7040347 8649579 9332553 14080694 14415965 15554255 17299158 18665106 21121041 28831930 31108510 35201735 42242082 43247895 46662765 70403470 86495790 93325530 105605205 133766593 211210410 267533186 401299779 577799641 668832965 802599558 1155599282 1337665930 1733398923 2006498895 2888998205 3466797846 4012997790 5777996410 8666994615 10978193179 17333989230 21956386358 24845384563 32934579537 49690769126 54890965895 65869159074 74536153689 109781931790 124226922815 149072307378 164672897685 248453845630 329345795370 372680768445 472062306697 745361536890 944124613394 1416186920091 2360311533485 2832373840182 4720623066970 7080934600455 14161869200910