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21543405444 = 2232115310110163
BaseRepresentation
bin10100000100000101…
…100100011110000100
32001121101201101111100
4110010011210132010
5323110102433234
613521421540100
71361602632141
oct240405443604
961541641440
1021543405444
119155766410
124212a14630
1320543867b2
1410852873c8
158614db399
hex504164784

21543405444 has 144 divisors (see below), whose sum is σ = 61133776704. Its totient is φ = 6341088000.

The previous prime is 21543405419. The next prime is 21543405461. The reversal of 21543405444 is 44450434512.

21543405444 is a `hidden beast` number, since 21 + 54 + 3 + 40 + 544 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21543405399 and 21543405408.

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, 2114707 + ... + 2124869.

It is an arithmetic number, because the mean of its divisors is an integer number (424540116).

Almost surely, 221543405444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21543405444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30566888352).

21543405444 is an abundant number, since it is smaller than the sum of its proper divisors (39590371260).

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

21543405444 is a wasteful number, since it uses less digits than its factorization.

21543405444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10338 (or 10333 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 21543405444 its reverse (44450434512), we get a palindrome (65993839956).

The spelling of 21543405444 in words is "twenty-one billion, five hundred forty-three million, four hundred five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 53 66 99 101 106 132 159 198 202 212 303 318 396 404 477 583 606 636 909 954 1111 1166 1212 1749 1818 1908 2222 2332 3333 3498 3636 4444 5247 5353 6666 6996 9999 10163 10494 10706 13332 16059 19998 20326 20988 21412 30489 32118 39996 40652 48177 58883 60978 64236 91467 96354 111793 117766 121956 176649 182934 192708 223586 235532 335379 353298 365868 447172 529947 538639 670758 706596 1006137 1026463 1059894 1077278 1341516 1615917 2012274 2052926 2119788 2154556 3079389 3231834 4024548 4105852 4847751 5925029 6158778 6463668 9238167 9695502 11291093 11850058 12317556 17775087 18476334 19391004 22582186 23700116 33873279 35550174 36952668 45164372 53325261 54402539 67746558 71100348 101619837 106650522 108805078 135493116 163207617 203239674 213301044 217610156 326415234 406479348 489622851 598427929 652830468 979245702 1196855858 1795283787 1958491404 2393711716 3590567574 5385851361 7181135148 10771702722 21543405444