Search a number
-
+
11098966469472 = 253278366330599
BaseRepresentation
bin1010000110000010110111…
…1101000010101101100000
31110022001101001112020012200
42201200231331002231200
52423321140404010342
635334443402253200
72223605510246310
oct241405575025540
943261331466180
1011098966469472
11359a05524a252
1212b30794b7200
13626821a8666b
142a529b23b440
15143a99cdc94c
hexa182df42b60

11098966469472 has 144 divisors (see below), whose sum is σ = 36506239660800. Its totient is φ = 3132926804736.

The previous prime is 11098966469369. The next prime is 11098966469497. The reversal of 11098966469472 is 27496466989011.

11098966469472 is a `hidden beast` number, since 1 + 1 + 0 + 9 + 8 + 96 + 6 + 4 + 69 + 472 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 11098966469472.

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, 32997972 + ... + 33332627.

It is an arithmetic number, because the mean of its divisors is an integer number (253515553200).

Almost surely, 211098966469472 is an apocalyptic number.

11098966469472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11098966469472 is an abundant number, since it is smaller than the sum of its proper divisors (25407273191328).

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

11098966469472 is a wasteful number, since it uses less digits than its factorization.

11098966469472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66330705 (or 66330694 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 11098966469472 in words is "eleven trillion, ninety-eight billion, nine hundred sixty-six million, four hundred sixty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 83 84 96 112 126 144 166 168 224 249 252 288 332 336 498 504 581 664 672 747 996 1008 1162 1328 1494 1743 1992 2016 2324 2656 2988 3486 3984 4648 5229 5976 6972 7968 9296 10458 11952 13944 18592 20916 23904 27888 41832 55776 83664 167328 66330599 132661198 198991797 265322396 397983594 464314193 530644792 596975391 795967188 928628386 1061289584 1193950782 1392942579 1591934376 1857256772 2122579168 2387901564 2785885158 3183868752 3714513544 4178827737 4775803128 5505439717 5571770316 6367737504 7429027088 8357655474 9551606256 11010879434 11143540632 14858054176 16516319151 16715310948 19103212512 22021758868 22287081264 33032638302 33430621896 38538078019 44043517736 44574162528 49548957453 66065276604 66861243792 77076156038 88087035472 99097914906 115614234057 132130553208 133722487584 154152312076 176174070944 198195829812 231228468114 264261106416 308304624152 346842702171 396391659624 462456936228 528522212832 616609248304 693685404342 792783319248 924913872456 1233218496608 1387370808684 1585566638496 1849827744912 2774741617368 3699655489824 5549483234736 11098966469472