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42218742784 = 21064212
BaseRepresentation
bin100111010100011011…
…101110010000000000
311000222022000100102011
4213110123232100000
51142430444232114
631221154102304
73023135251441
oct472433562000
9130868010364
1042218742784
11169a541a369
128222b7a994
133c9a94700a
1420871272c8
1511716a71c4
hex9d46ee400

42218742784 has 33 divisors (see below), whose sum is σ = 84409402161. Its totient is φ = 21106083840.

The previous prime is 42218742743. The next prime is 42218742791. The reversal of 42218742784 is 48724781224.

The square root of 42218742784 is 205472.

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

It can be written as a sum of positive squares in only one way, i.e., 11691664384 + 30527078400 = 108128^2 + 174720^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 6571894 + ... + 6578314.

Almost surely, 242218742784 is an apocalyptic number.

42218742784 is the 205472-nd square number.

It is an amenable number.

42218742784 is a deficient number, since it is larger than the sum of its proper divisors (42190659377).

42218742784 is an frugal number, since it uses more digits than its factorization.

42218742784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12862 (or 6423 counting only the distinct ones).

The product of its digits is 1605632, while the sum is 49.

Multiplying 42218742784 by its sum of digits (49), we get a square (2068718396416 = 14383042).

The spelling of 42218742784 in words is "forty-two billion, two hundred eighteen million, seven hundred forty-two thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 6421 12842 25684 51368 102736 205472 410944 821888 1643776 3287552 6575104 41229241 82458482 164916964 329833928 659667856 1319335712 2638671424 5277342848 10554685696 21109371392 42218742784