Search a number
-
+
16434059616 = 2532134389439
BaseRepresentation
bin11110100111000101…
…11101100101100000
31120102022120201122200
433103202331211200
5232124104401431
611314422533200
71121152126152
oct172342754540
946368521580
1016434059616
116a73664257
123227897200
13171b991540
14b1c880ad2
15662b85ee6
hex3d38bd960

16434059616 has 72 divisors (see below), whose sum is σ = 50329319040. Its totient is φ = 5056632576.

The previous prime is 16434059611. The next prime is 16434059639. The reversal of 16434059616 is 61695043461.

16434059616 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 40 + 596 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16434059611) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2190976 + ... + 2198463.

It is an arithmetic number, because the mean of its divisors is an integer number (699018320).

Almost surely, 216434059616 is an apocalyptic number.

16434059616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16434059616 is an abundant number, since it is smaller than the sum of its proper divisors (33895259424).

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

16434059616 is a wasteful number, since it uses less digits than its factorization.

16434059616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4389468 (or 4389457 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 16434059616 in words is "sixteen billion, four hundred thirty-four million, fifty-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 4389439 8778878 13168317 17557756 26336634 35115512 39504951 52673268 57062707 70231024 79009902 105346536 114125414 140462048 158019804 171188121 210693072 228250828 316039608 342376242 421386144 456501656 513564363 632079216 684752484 913003312 1027128726 1264158432 1369504968 1826006624 2054257452 2739009936 4108514904 5478019872 8217029808 16434059616