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204411365540 = 225157241270121
BaseRepresentation
bin1011111001011111011…
…1011110100010100100
3201112121210001021101022
42332113313132202210
511322113302144130
6233523312550312
720524334640014
oct2762767364244
9645553037338
10204411365540
1179765983448
1233748b52398
1316378231445
149c71d17c44
1554b58a57e5
hex2f97dde8a4

204411365540 has 48 divisors (see below), whose sum is σ = 433792161264. Its totient is φ = 80906342400.

The previous prime is 204411365539. The next prime is 204411365549. The reversal of 204411365540 is 45563114402.

It can be written as a sum of positive squares in 8 ways, for example, as 3583698496 + 200827667044 = 59864^2 + 448138^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 204411365540.

It is not an unprimeable number, because it can be changed into a prime (204411365549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 621680 + ... + 891800.

It is an arithmetic number, because the mean of its divisors is an integer number (9037336693).

Almost surely, 2204411365540 is an apocalyptic number.

204411365540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204411365540 is an abundant number, since it is smaller than the sum of its proper divisors (229380795724).

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

204411365540 is a wasteful number, since it uses less digits than its factorization.

204411365540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270528 (or 270526 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 204411365540 its reverse (45563114402), we get a palindrome (249974479942).

The spelling of 204411365540 in words is "two hundred four billion, four hundred eleven million, three hundred sixty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 157 241 314 482 628 785 964 1205 1570 2410 3140 4820 37837 75674 151348 189185 270121 378370 540242 756740 1080484 1350605 2701210 5402420 42408997 65099161 84817994 130198322 169635988 212044985 260396644 325495805 424089970 650991610 848179940 1301983220 10220568277 20441136554 40882273108 51102841385 102205682770 204411365540