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16325543168 = 2811127191239
BaseRepresentation
bin11110011010001010…
…00000010100000000
31120010202101112001222
433031011000110000
5231413314340133
611255545014212
71115363553524
oct171505002400
946122345058
1016325543168
116a18386240
1231b7484368
13170235851c
14b0c2b3d84
1565839ce98
hex3cd140500

16325543168 has 144 divisors (see below), whose sum is σ = 36168007680. Its totient is φ = 7293081600.

The previous prime is 16325543167. The next prime is 16325543191. The reversal of 16325543168 is 86134552361.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16325543167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68307593 + ... + 68307831.

It is an arithmetic number, because the mean of its divisors is an integer number (251166720).

Almost surely, 216325543168 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 16325543168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18084003840).

16325543168 is an abundant number, since it is smaller than the sum of its proper divisors (19842464512).

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

16325543168 is a wasteful number, since it uses less digits than its factorization.

16325543168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 570 counting only the distinct ones).

The product of its digits is 518400, while the sum is 44.

The spelling of 16325543168 in words is "sixteen billion, three hundred twenty-five million, five hundred forty-three thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 127 128 176 191 239 254 256 352 382 478 508 704 764 956 1016 1397 1408 1528 1912 2032 2101 2629 2794 2816 3056 3824 4064 4202 5258 5588 6112 7648 8128 8404 10516 11176 12224 15296 16256 16808 21032 22352 24257 24448 30353 30592 32512 33616 42064 44704 45649 48514 48896 60706 61184 67232 84128 89408 91298 97028 121412 134464 168256 178816 182596 194056 242824 266827 268928 333883 336512 357632 365192 388112 485648 502139 533654 537856 667766 673024 730384 776224 971296 1004278 1067308 1335532 1460768 1552448 1942592 2008556 2134616 2671064 2921536 3104896 3885184 4017112 4269232 5342128 5797423 5843072 6209792 7770368 8034224 8538464 10684256 11594846 11686144 16068448 17076928 21368512 23189692 32136896 34153856 42737024 46379384 63771653 64273792 68307712 85474048 92758768 127543306 128547584 185517536 255086612 371035072 510173224 742070144 1020346448 1484140288 2040692896 4081385792 8162771584 16325543168