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16730841816 = 23331326772
BaseRepresentation
bin11111001010011110…
…00110001011011000
31121012000000211022000
433211033012023120
5233231043414231
611404104001000
71131414544323
oct174517061330
947160024260
1016730841816
1171061400a7
1232ab160160
131768303800
14b4a0577ba
1567dc5b6e6
hex3e53c62d8

16730841816 has 144 divisors (see below), whose sum is σ = 50398968600. Its totient is φ = 5140347264.

The previous prime is 16730841713. The next prime is 16730841817. The reversal of 16730841816 is 61814803761.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

16730841816 is a `hidden beast` number, since 167 + 308 + 4 + 181 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16730841817) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24712870 + ... + 24713546.

Almost surely, 216730841816 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 16730841816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25199484300).

16730841816 is an abundant number, since it is smaller than the sum of its proper divisors (33668126784).

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

16730841816 is an equidigital number, since it uses as much as digits as its factorization.

16730841816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 16730841816 in words is "sixteen billion, seven hundred thirty million, eight hundred forty-one thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 169 216 234 312 338 351 468 507 676 677 702 936 1014 1352 1354 1404 1521 2028 2031 2708 2808 3042 4056 4062 4563 5416 6084 6093 8124 8801 9126 12168 12186 16248 17602 18252 18279 24372 26403 35204 36504 36558 48744 52806 70408 73116 79209 105612 114413 146232 158418 211224 228826 237627 316836 343239 457652 458329 475254 633672 686478 915304 916658 950508 1029717 1372956 1374987 1833316 1901016 2059434 2745912 2749974 3089151 3666632 4118868 4124961 5499948 5958277 6178302 8237736 8249922 10999896 11916554 12356604 12374883 16499844 17874831 23833108 24713208 24749766 32999688 35749662 47666216 49499532 53624493 71499324 77457601 98999064 107248986 142998648 154915202 160873479 214497972 232372803 309830404 321746958 428995944 464745606 619660808 643493916 697118409 929491212 1286987832 1394236818 1858982424 2091355227 2788473636 4182710454 5576947272 8365420908 16730841816