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204531220641 = 311172331511337
BaseRepresentation
bin1011111001111100000…
…0101100000010100001
3201112221010120112200010
42332133000230002201
511322334443030031
6233543233515133
720530321455546
oct2763700540241
9645833515603
10204531220641
11798175a6350
1233781112aa9
1316397007417
149c83bd6bcd
1554c117d246
hex2f9f02c0a1

204531220641 has 64 divisors (see below), whose sum is σ = 339299352576. Its totient is φ = 107994163200.

The previous prime is 204531220631. The next prime is 204531220679. The reversal of 204531220641 is 146022135402.

It is not a de Polignac number, because 204531220641 - 214 = 204531204257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 204531220599 and 204531220608.

It is not an unprimeable number, because it can be changed into a prime (204531220631) 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 63 ways as a sum of consecutive naturals, for example, 144325 + ... + 655661.

It is an arithmetic number, because the mean of its divisors is an integer number (5301552384).

Almost surely, 2204531220641 is an apocalyptic number.

It is an amenable number.

204531220641 is a deficient number, since it is larger than the sum of its proper divisors (134768131935).

204531220641 is a wasteful number, since it uses less digits than its factorization.

204531220641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511422.

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 204531220641 in words is "two hundred four billion, five hundred thirty-one million, two hundred twenty thousand, six hundred forty-one".

Divisors: 1 3 11 17 23 31 33 51 69 93 187 253 341 391 527 561 713 759 1023 1173 1581 2139 4301 5797 7843 12121 12903 17391 23529 36363 133331 399993 511337 1534011 5624707 8692729 11760751 15851447 16874121 26078187 35282253 47554341 95620019 129368261 174365917 199932767 269474599 286860057 364583281 388104783 523097751 599798301 808423797 1093749843 2199260437 2964220589 4010416091 6197915777 6597781311 8892661767 12031248273 18593747331 68177073547 204531220641