Search a number
-
+
16017422688 = 25321091812819
BaseRepresentation
bin11101110101011011…
…00111100101100000
31112100021121101020100
432322231213211200
5230300430011223
611205220542400
71104632563221
oct167255474540
945307541210
1016017422688
11687a465813
123130251a00
131683576507
14abd3c9248
1563b2d8043
hex3bab67960

16017422688 has 144 divisors (see below), whose sum is σ = 46237791600. Its totient is φ = 5259064320.

The previous prime is 16017422623. The next prime is 16017422717. The reversal of 16017422688 is 88622471061.

16017422688 is a `hidden beast` number, since 160 + 1 + 7 + 422 + 68 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5680543 + ... + 5683361.

It is an arithmetic number, because the mean of its divisors is an integer number (321095775).

Almost surely, 216017422688 is an apocalyptic number.

16017422688 is a gapful number since it is divisible by the number (18) 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 16017422688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23118895800).

16017422688 is an abundant number, since it is smaller than the sum of its proper divisors (30220368912).

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

16017422688 is a wasteful number, since it uses less digits than its factorization.

16017422688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3125 (or 3114 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 16017422688 in words is "sixteen billion, seventeen million, four hundred twenty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 109 144 181 218 288 327 362 436 543 654 724 872 981 1086 1308 1448 1629 1744 1962 2172 2616 2819 2896 3258 3488 3924 4344 5232 5638 5792 6516 7848 8457 8688 10464 11276 13032 15696 16914 17376 19729 22552 25371 26064 31392 33828 39458 45104 50742 52128 59187 67656 78916 90208 101484 118374 135312 157832 177561 202968 236748 270624 307271 315664 355122 405936 473496 510239 614542 631328 710244 811872 921813 946992 1020478 1229084 1420488 1530717 1843626 1893984 2040956 2458168 2765439 2840976 3061434 3687252 4081912 4592151 4916336 5530878 5681952 6122868 7374504 8163824 9184302 9832672 11061756 12245736 14749008 16327648 18368604 22123512 24491472 29498016 36737208 44247024 48982944 55616051 73474416 88494048 111232102 146948832 166848153 222464204 333696306 444928408 500544459 667392612 889856816 1001088918 1334785224 1779713632 2002177836 2669570448 4004355672 5339140896 8008711344 16017422688