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204435990544 = 241923173169009
BaseRepresentation
bin1011111001100101010…
…1011010100000010000
3201112200111101100112111
42332121111122200100
511322141103144134
6233525552435104
720525054151022
oct2763125324020
9645614340474
10204435990544
1179778872595
1233755248a94
1316380373a56
149c752c8012
1554b7b1bc64
hex2f9955a810

204435990544 has 80 divisors (see below), whose sum is σ = 437587171200. Its totient is φ = 92091783168.

The previous prime is 204435990529. The next prime is 204435990581. The reversal of 204435990544 is 445099534402.

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 15 ways as a sum of consecutive naturals, for example, 1125112 + ... + 1294120.

It is an arithmetic number, because the mean of its divisors is an integer number (5469839640).

Almost surely, 2204435990544 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 204435990544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218793585600).

204435990544 is an abundant number, since it is smaller than the sum of its proper divisors (233151180656).

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

204435990544 is a wasteful number, since it uses less digits than its factorization.

204435990544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169232 (or 169226 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 49.

The spelling of 204435990544 in words is "two hundred four billion, four hundred thirty-five million, nine hundred ninety thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 19 23 38 46 76 92 152 173 184 304 346 368 437 692 874 1384 1748 2768 3287 3496 3979 6574 6992 7958 13148 15916 26296 31832 52592 63664 75601 151202 169009 302404 338018 604808 676036 1209616 1352072 2704144 3211171 3887207 6422342 7774414 12844684 15548828 25689368 29238557 31097656 51378736 58477114 62195312 73856933 116954228 147713866 233908456 295427732 467816912 555532583 590855464 672486811 1111065166 1181710928 1344973622 2222130332 2689947244 4444260664 5379894488 8888521328 10759788976 12777249409 25554498818 51108997636 102217995272 204435990544