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204021760941 = 3279728443017
BaseRepresentation
bin1011111000000010100…
…1010000001110101101
3201111121121221022100100
42332000221100032231
511320314032322231
6233420514221313
720511564232365
oct2760051201655
9644547838310
10204021760941
1179585a68779
123365a584839
13163155bc68b
149c3629b9a5
1554915971e6
hex2f80a503ad

204021760941 has 12 divisors (see below), whose sum is σ = 295067868732. Its totient is φ = 135843844416.

The previous prime is 204021760919. The next prime is 204021760997. The reversal of 204021760941 is 149067120402.

It is a happy number.

204021760941 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 2 + 1 + 7 + 609 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 148857844041 + 55163916900 = 385821^2 + 234870^2 .

It is not a de Polignac number, because 204021760941 - 25 = 204021760909 is a prime.

It is a super-3 number, since 3×2040217609413 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 204021760896 and 204021760905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204021760141) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 14214336 + ... + 14228681.

It is an arithmetic number, because the mean of its divisors is an integer number (24588989061).

Almost surely, 2204021760941 is an apocalyptic number.

It is an amenable number.

204021760941 is a deficient number, since it is larger than the sum of its proper divisors (91046107791).

204021760941 is a wasteful number, since it uses less digits than its factorization.

204021760941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28443820 (or 28443817 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 204021760941 in words is "two hundred four billion, twenty-one million, seven hundred sixty thousand, nine hundred forty-one".

Divisors: 1 3 9 797 2391 7173 28443017 85329051 255987153 22669084549 68007253647 204021760941