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208984601888 = 2553221355681
BaseRepresentation
bin1100001010100001110…
…0111111010100100000
3201222102111101202021022
43002220130333110200
511411000024230023
6240001201145012
721045555543416
oct3025034772440
9658374352238
10208984601888
11806a23a5617
123460462b168
131692683a85a
14a1874492b6
15568210d7c8
hex30a873f520

208984601888 has 48 divisors (see below), whose sum is σ = 419398383096. Its totient is φ = 102472581120.

The previous prime is 208984601873. The next prime is 208984601893. The reversal of 208984601888 is 888106489802.

It can be written as a sum of positive squares in 4 ways, for example, as 208457991184 + 526610704 = 456572^2 + 22948^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 208984601888.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3725408 + ... + 3781088.

Almost surely, 2208984601888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208984601888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209699191548).

208984601888 is an abundant number, since it is smaller than the sum of its proper divisors (210413781208).

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

208984601888 is a wasteful number, since it uses less digits than its factorization.

208984601888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57957 (or 57949 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 62.

The spelling of 208984601888 in words is "two hundred eight billion, nine hundred eighty-four million, six hundred one thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 16 32 53 106 212 424 848 1696 2213 4426 8852 17704 35408 55681 70816 111362 117289 222724 234578 445448 469156 890896 938312 1781792 1876624 2951093 3753248 5902186 11804372 23608744 47217488 94434976 123222053 246444106 492888212 985776424 1971552848 3943105696 6530768809 13061537618 26123075236 52246150472 104492300944 208984601888