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16514446057209 = 3641236712
BaseRepresentation
bin1111000001010001000110…
…1100001101111011111001
32011110202200010210021000000
43300110101230031323321
54131033041142312314
655042344244303213
73323062240242042
oct360242154157371
964422603707000
1016514446057209
1152978122a5521
121a2873a6a1b09
1392a3c8491119
1441143696b8c9
151d98a2da2209
hexf0511b0def9

16514446057209 has 63 divisors (see below), whose sum is σ = 25385897878207. Its totient is φ = 10738177192800.

The previous prime is 16514446057201. The next prime is 16514446057211. The reversal of 16514446057209 is 90275064441561.

The square root of 16514446057209 is 4063797.

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

16514446057209 is a `hidden beast` number, since 1 + 6 + 5 + 1 + 4 + 4 + 4 + 60 + 572 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 795758554809 + 15718687502400 = 892053^2 + 3964680^2 .

It is not a de Polignac number, because 16514446057209 - 23 = 16514446057201 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (16514446057201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 4498621444 + ... + 4498625114.

Almost surely, 216514446057209 is an apocalyptic number.

16514446057209 is the 4063797-th square number.

16514446057209 is the 2031899-th centered octagonal number.

It is an amenable number.

16514446057209 is a deficient number, since it is larger than the sum of its proper divisors (8871451820998).

16514446057209 is an frugal number, since it uses more digits than its factorization.

16514446057209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7442 (or 3715 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 16514446057209 in words is "sixteen trillion, five hundred fourteen billion, four hundred forty-six million, fifty-seven thousand, two hundred nine".

Divisors: 1 3 9 27 41 81 123 243 369 729 1107 1681 3321 3671 5043 9963 11013 15129 29889 33039 45387 99117 136161 150511 297351 408483 451533 892053 1225449 1354599 2676159 4063797 6170951 12191391 13476241 18512853 36574173 40428723 55538559 109722519 121286169 166615677 363858507 499847031 552525881 1091575521 1499541093 1657577643 3274726563 4498623279 4972732929 9824179689 14918198787 22653561121 44754596361 67960683363 134263789083 203882050089 402791367249 611646150267 1834938450801 5504815352403 16514446057209