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16729870336 = 212432472
BaseRepresentation
bin11111001010010110…
…11001000000000000
31121011221012110200021
433211023121000000
5233230321322321
611404031103224
71131403360114
oct174513310000
947157173607
1016729870336
117105637223
1232aa971b14
13176805357a
14b49c83744
1567db18941
hex3e52d9000

16729870336 has 117 divisors (see below), whose sum is σ = 34996055691. Its totient is φ = 7996563456.

The previous prime is 16729870303. The next prime is 16729870351. The reversal of 16729870336 is 63307892761.

It is a happy number.

The square root of 16729870336 is 129344.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×167298703362 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 355954665 + ... + 355954711.

Almost surely, 216729870336 is an apocalyptic number.

16729870336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16729870336 is the 129344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16729870336

16729870336 is an abundant number, since it is smaller than the sum of its proper divisors (18266185355).

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

16729870336 is an frugal number, since it uses more digits than its factorization.

16729870336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 52.

The spelling of 16729870336 in words is "sixteen billion, seven hundred twenty-nine million, eight hundred seventy thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 43 47 64 86 94 128 172 188 256 344 376 512 688 752 1024 1376 1504 1849 2021 2048 2209 2752 3008 3698 4042 4096 4418 5504 6016 7396 8084 8836 11008 12032 14792 16168 17672 22016 24064 29584 32336 35344 44032 48128 59168 64672 70688 86903 88064 94987 96256 118336 129344 141376 173806 176128 189974 192512 236672 258688 282752 347612 379948 473344 517376 565504 695224 759896 946688 1034752 1131008 1390448 1519792 1893376 2069504 2262016 2780896 3039584 3786752 4084441 4139008 4524032 5561792 6079168 7573504 8168882 8278016 9048064 11123584 12158336 16337764 22247168 24316672 32675528 44494336 48633344 65351056 88988672 97266688 130702112 177977344 194533376 261404224 355954688 389066752 522808448 1045616896 2091233792 4182467584 8364935168 16729870336