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16859121032196 = 2232412166912
BaseRepresentation
bin1111010101010101000111…
…1010111001110000000100
32012200201100010120011022100
43311111101322321300010
54202204434441012241
655504550121232100
73360013510215042
oct365252172716004
965621303504270
1016859121032196
11540aa05340753
121a834b1632630
13953a67a80671
14423db30d3392
151e382769a9b6
hexf5551eb9c04

16859121032196 has 81 divisors (see below), whose sum is σ = 43683497683189. Its totient is φ = 5482312507200.

The previous prime is 16859121032189. The next prime is 16859121032231. The reversal of 16859121032196 is 69123012195861.

The square root of 16859121032196 is 4105986.

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

16859121032196 is a `hidden beast` number, since 1 + 6 + 8 + 591 + 2 + 1 + 0 + 32 + 19 + 6 = 666.

16859121032196 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 812366926596 + 16046754105600 = 901314^2 + 4005840^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1010064211 + ... + 1010080901.

Almost surely, 216859121032196 is an apocalyptic number.

16859121032196 is the 4105986-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16859121032196

16859121032196 is an abundant number, since it is smaller than the sum of its proper divisors (26824376650993).

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

16859121032196 is an frugal number, since it uses more digits than its factorization.

16859121032196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33474 (or 16737 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 16859121032196 in words is "sixteen trillion, eight hundred fifty-nine billion, one hundred twenty-one million, thirty-two thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 1681 3362 5043 6724 10086 15129 16691 20172 30258 33382 50073 60516 66764 100146 150219 200292 300438 600876 684331 1368662 2052993 2737324 4105986 6158979 8211972 12317958 24635916 28057571 56115142 84172713 112230284 168345426 252518139 278589481 336690852 505036278 557178962 835768443 1010072556 1114357924 1671536886 2507305329 3343073772 5014610658 10029221316 11422168721 22844337442 34266506163 45688674884 68533012326 102799518489 137066024652 205599036978 411198073956 468308917561 936617835122 1404926752683 1873235670244 2809853505366 4214780258049 5619707010732 8429560516098 16859121032196