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16023466944 = 2632115124169
BaseRepresentation
bin11101110110001001…
…01011001111000000
31112100200222110101200
432323010223033000
5230304001420234
611205554301200
71105035136032
oct167304531700
945320873350
1016023466944
116882913971
123132287800
1316848b16b4
14ac011dc52
1563bacdd99
hex3bb12b3c0

16023466944 has 84 divisors (see below), whose sum is σ = 45970179840. Its totient is φ = 5336294400.

The previous prime is 16023466939. The next prime is 16023466951. The reversal of 16023466944 is 44966432061.

16023466944 is a `hidden beast` number, since 1 + 602 + 34 + 6 + 6 + 9 + 4 + 4 = 666.

16023466944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 16023466944.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 650892 + ... + 675060.

Almost surely, 216023466944 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 16023466944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22985089920).

16023466944 is an abundant number, since it is smaller than the sum of its proper divisors (29946712896).

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

16023466944 is a wasteful number, since it uses less digits than its factorization.

16023466944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25338 (or 25325 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 16023466944 in words is "sixteen billion, twenty-three million, four hundred sixty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1151 2302 3453 4604 6906 9208 10359 13812 18416 20718 24169 27624 36832 41436 48338 55248 72507 73664 82872 96676 110496 145014 165744 193352 217521 220992 290028 331488 386704 435042 580056 662976 773408 870084 1160112 1546816 1740168 2320224 3480336 4640448 6960672 13921344 27818519 55637038 83455557 111274076 166911114 222548152 250366671 333822228 445096304 500733342 667644456 890192608 1001466684 1335288912 1780385216 2002933368 2670577824 4005866736 5341155648 8011733472 16023466944