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16543417044 = 223721124110613
BaseRepresentation
bin11110110100001000…
…01000001011010100
31120200221100122211210
433122010020023110
5232340103321134
611333330501420
71123650503400
oct173204101324
946627318753
1016543417044
11701a3670a0
123258434870
13173853028b
14b2d1ca100
1566c5882e9
hex3da1082d4

16543417044 has 144 divisors (see below), whose sum is σ = 49193597376. Its totient is φ = 4278758400.

The previous prime is 16543417001. The next prime is 16543417049. The reversal of 16543417044 is 44071434561.

It is a junction number, because it is equal to n+sod(n) for n = 16543416993 and 16543417011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16543417049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1553482 + ... + 1564094.

It is an arithmetic number, because the mean of its divisors is an integer number (341622204).

Almost surely, 216543417044 is an apocalyptic number.

16543417044 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 16543417044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24596798688).

16543417044 is an abundant number, since it is smaller than the sum of its proper divisors (32650180332).

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

16543417044 is a wasteful number, since it uses less digits than its factorization.

16543417044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10886 (or 10877 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 16543417044 in words is "sixteen billion, five hundred forty-three million, four hundred seventeen thousand, forty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 241 294 308 462 482 539 588 723 924 964 1078 1446 1617 1687 2156 2651 2892 3234 3374 5061 5302 6468 6748 7953 10122 10604 10613 11809 15906 18557 20244 21226 23618 31812 31839 35427 37114 42452 47236 55671 63678 70854 74228 74291 111342 116743 127356 129899 141708 148582 222684 222873 233486 259798 297164 350229 389697 445746 466972 519596 520037 700458 779394 817201 891492 1040074 1400916 1558788 1560111 1634402 2080148 2451603 2557733 3120222 3268804 4903206 5115466 5720407 6240444 7673199 9806412 10230932 11440814 15346398 17161221 17904131 22881628 28135063 30692796 34322442 35808262 53712393 56270126 68644884 71616524 84405189 107424786 112540252 125328917 168810378 196945441 214849572 250657834 337620756 375986751 393890882 501315668 590836323 751973502 787781764 1181672646 1378618087 1503947004 2363345292 2757236174 4135854261 5514472348 8271708522 16543417044