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204024413422404 = 223279257632784557
BaseRepresentation
bin101110011000111100100010…
…101100000000001101000100
3222202101112200011111010010100
4232120330202230000031010
5203220213444314004104
62001531304355524100
760655164106065351
oct5630744254001504
9882345604433110
10204024413422404
115a0102a4520573
121aa7136b2b9630
1389ac55bc14793
143854b97459628
15188c2234a1139
hexb98f22b00344

204024413422404 has 72 divisors (see below), whose sum is σ = 522277044831360. Its totient is φ = 67144644844992.

The previous prime is 204024413422391. The next prime is 204024413422409. The reversal of 204024413422404 is 404224314420402.

204024413422404 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 244 + 1 + 3 + 4 + 2 + 2 + 404 = 666.

It is a super-2 number, since 2×2040244134224042 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (204024413422409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71877694 + ... + 74662250.

It is an arithmetic number, because the mean of its divisors is an integer number (7253847844880).

Almost surely, 2204024413422404 is an apocalyptic number.

It is an amenable number.

204024413422404 is an abundant number, since it is smaller than the sum of its proper divisors (318252631408956).

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

204024413422404 is a wasteful number, since it uses less digits than its factorization.

204024413422404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2810409 (or 2810404 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 204024413422404 its reverse (404224314420402), we get a palindrome (608248727842806).

The spelling of 204024413422404 in words is "two hundred four trillion, twenty-four billion, four hundred thirteen million, four hundred twenty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 474 711 948 1422 2844 25763 51526 77289 103052 154578 231867 309156 463734 927468 2035277 2784557 4070554 5569114 6105831 8141108 8353671 11138228 12211662 16707342 18317493 24423324 25061013 33414684 36634986 50122026 73269972 100244052 219980003 439960006 659940009 879920012 1319880018 1979820027 2639760036 3959640054 7919280108 71738541991 143477083982 215215625973 286954167964 430431251946 645646877919 860862503892 1291293755838 2582587511676 5667344817289 11334689634578 17002034451867 22669379269156 34004068903734 51006103355601 68008137807468 102012206711202 204024413422404