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16564703616416 = 254188169143197
BaseRepresentation
bin1111000100001100010101…
…0001100101110110100000
32011122120101200020210102202
43301003011101211312200
54132344003111211131
655121415250232332
73326521540402214
oct361030521456640
964576350223382
1016564703616416
11530706239461a
121a364258856a8
139320776bc137
14413a43584944
151dad45170bcb
hexf10c5465da0

16564703616416 has 48 divisors (see below), whose sum is σ = 33407781228360. Its totient is φ = 8080195153920.

The previous prime is 16564703616401. The next prime is 16564703616491. The reversal of 16564703616416 is 61461630746561.

It can be written as a sum of positive squares in 4 ways, for example, as 4285314010000 + 12279389606416 = 2070100^2 + 3504196^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115606130 + ... + 115749326.

Almost surely, 216564703616416 is an apocalyptic number.

16564703616416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16564703616416 is an abundant number, since it is smaller than the sum of its proper divisors (16843077611944).

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

16564703616416 is a wasteful number, since it uses less digits than its factorization.

16564703616416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231417 (or 231409 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 56.

The spelling of 16564703616416 in words is "sixteen trillion, five hundred sixty-four billion, seven hundred three million, six hundred sixteen thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 88169 143197 176338 286394 352676 572788 705352 1145576 1410704 2291152 2821408 3614929 4582304 5871077 7229858 11742154 14459716 23484308 28919432 46968616 57838864 93937232 115677728 187874464 12625536293 25251072586 50502145172 101004290344 202008580688 404017161376 517646988013 1035293976026 2070587952052 4141175904104 8282351808208 16564703616416