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2841316416 = 263222212
BaseRepresentation
bin1010100101011011…
…0000110001000000
321100000102211101100
42221112300301000
521304334111131
61145535134400
7130260535221
oct25126606100
97300384340
102841316416
111228938094
12673674400
13363865023
141cd4db248
1511969b7e6
hexa95b0c40

2841316416 has 63 divisors (see below), whose sum is σ = 8147789013. Its totient is φ = 946679040.

The previous prime is 2841316399. The next prime is 2841316453. The reversal of 2841316416 is 6146131482.

The square root of 2841316416 is 53304.

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

2841316416 is a `hidden beast` number, since 2 + 8 + 4 + 1 + 3 + 1 + 641 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1926858816 + 914457600 = 43896^2 + 30240^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1278186 + ... + 1280406.

Almost surely, 22841316416 is an apocalyptic number.

2841316416 is the 53304-th square number.

It is an amenable number.

2841316416 is an abundant number, since it is smaller than the sum of its proper divisors (5306472597).

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

2841316416 is an frugal number, since it uses more digits than its factorization.

2841316416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4460 (or 2226 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The cubic root of 2841316416 is about 1416.3585226418.

Multiplying 2841316416 by its sum of digits (36), we get a square (102287390976 = 3198242).

2841316416 divided by its sum of digits (36) gives a square (78925456 = 88842).

Adding to 2841316416 its reverse (6146131482), we get a palindrome (8987447898).

The spelling of 2841316416 in words is "two billion, eight hundred forty-one million, three hundred sixteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 2221 4442 6663 8884 13326 17768 19989 26652 35536 39978 53304 71072 79956 106608 142144 159912 213216 319824 426432 639648 1279296 4932841 9865682 14798523 19731364 29597046 39462728 44395569 59194092 78925456 88791138 118388184 157850912 177582276 236776368 315701824 355164552 473552736 710329104 947105472 1420658208 2841316416