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204043730944 = 21435292
BaseRepresentation
bin1011111000000111110…
…1000100000000000000
3201111200011021111112011
42332001331010000000
511320340143342234
6233423021142304
720512252045024
oct2760175040000
9644604244464
10204043730944
11795974040a9
12336659ba994
131631a012691
149c3917a384
155493486b64
hex2f81f44000

204043730944 has 45 divisors (see below), whose sum is σ = 408190675557. Its totient is φ = 101992955904.

The previous prime is 204043730941. The next prime is 204043730951. The reversal of 204043730944 is 449037340402.

The square root of 204043730944 is 451712.

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., 19074924544 + 184968806400 = 138112^2 + 430080^2 .

It is a super-2 number, since 2×2040437309442 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 204043730897 and 204043730906.

It is not an unprimeable number, because it can be changed into a prime (204043730941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 57817372 + ... + 57820900.

Almost surely, 2204043730944 is an apocalyptic number.

204043730944 is the 451712-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204043730944

204043730944 is an abundant number, since it is smaller than the sum of its proper divisors (204146944613).

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

204043730944 is an frugal number, since it uses more digits than its factorization.

204043730944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7086 (or 3531 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 40.

The spelling of 204043730944 in words is "two hundred four billion, forty-three million, seven hundred thirty thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 3529 4096 7058 8192 14116 16384 28232 56464 112928 225856 451712 903424 1806848 3613696 7227392 12453841 14454784 24907682 28909568 49815364 57819136 99630728 199261456 398522912 797045824 1594091648 3188183296 6376366592 12752733184 25505466368 51010932736 102021865472 204043730944