Search a number
-
+
16638014553444 = 22323783151996649
BaseRepresentation
bin1111001000011101011011…
…1100100111110101100100
32011220120121211201021001200
43302013112330213311210
54140044123211202234
655215222014122500
73335025340155414
oct362072674476544
964816554637050
1016638014553444
115335162510689
121a486854b0430
13938c5ba7800b
144173d9bc2644
151dcbd6294d99
hexf21d6f27d64

16638014553444 has 144 divisors (see below), whose sum is σ = 44003835657600. Its totient is φ = 5295788812800.

The previous prime is 16638014553389. The next prime is 16638014553449. The reversal of 16638014553444 is 44435541083661.

16638014553444 is a `hidden beast` number, since 1 + 6 + 6 + 3 + 8 + 0 + 145 + 53 + 444 = 666.

It is a super-2 number, since 2×166380145534442 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16638014553449) 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, 16195632 + ... + 17192280.

Almost surely, 216638014553444 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 16638014553444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22001917828800).

16638014553444 is an abundant number, since it is smaller than the sum of its proper divisors (27365821104156).

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

16638014553444 is a wasteful number, since it uses less digits than its factorization.

16638014553444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996930 (or 996925 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 16638014553444 in words is "sixteen trillion, six hundred thirty-eight billion, fourteen million, five hundred fifty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 83 111 148 151 166 222 249 302 332 333 444 453 498 604 666 747 906 996 1332 1359 1494 1812 2718 2988 3071 5436 5587 6142 9213 11174 12284 12533 16761 18426 22348 25066 27639 33522 36852 37599 50132 50283 55278 67044 75198 100566 110556 112797 150396 201132 225594 451188 463721 927442 996649 1391163 1854884 1993298 2782326 2989947 3986596 4173489 5564652 5979894 8346978 8969841 11959788 16693956 17939682 35879364 36876013 73752026 82721867 110628039 147504052 150493999 165443734 221256078 248165601 300987998 330887468 331884117 442512156 451481997 496331202 601975996 663768234 744496803 902963994 992662404 1327536468 1354445991 1488993606 1805927988 2708891982 2977987212 3060709079 5417783964 5568277963 6121418158 9182127237 11136555926 12242836316 12491001917 16704833889 18364254474 22273111852 24982003834 27546381711 33409667778 36728508948 37473005751 49964007668 50114501667 55092763422 66819335556 74946011502 100229003334 110185526844 112419017253 149892023004 200458006668 224838034506 449676069012 462167070929 924334141858 1386501212787 1848668283716 2773002425574 4159503638361 5546004851148 8319007276722 16638014553444