Search a number
-
+
204265624164 = 223724131332237
BaseRepresentation
bin1011111000111100101…
…1100001001001100100
3201112020121210211210120
42332033023201021210
511321313444433124
6233501025121540
720520615105030
oct2761713411144
9645217724716
10204265624164
11796a068a828
12337081892b0
1316353c93a44
149c5a81b1c0
1554a7bb7d79
hex2f8f2e1264

204265624164 has 96 divisors (see below), whose sum is σ = 548733056256. Its totient is φ = 57931960320.

The previous prime is 204265624159. The next prime is 204265624187. The reversal of 204265624164 is 461426562402.

204265624164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6320254 + ... + 6352490.

It is an arithmetic number, because the mean of its divisors is an integer number (5715969336).

Almost surely, 2204265624164 is an apocalyptic number.

It is an amenable number.

204265624164 is an abundant number, since it is smaller than the sum of its proper divisors (344467432092).

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

204265624164 is a wasteful number, since it uses less digits than its factorization.

204265624164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32805 (or 32803 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 204265624164 in words is "two hundred four billion, two hundred sixty-five million, six hundred twenty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 241 313 482 626 723 939 964 1252 1446 1687 1878 2191 2892 3374 3756 4382 5061 6573 6748 8764 10122 13146 20244 26292 32237 64474 75433 96711 128948 150866 193422 225659 226299 301732 386844 451318 452598 528031 676977 902636 905196 1056062 1353954 1584093 2112124 2707908 3168186 6336372 7769117 10090181 15538234 20180362 23307351 30270543 31076468 40360724 46614702 54383819 60541086 70631267 93229404 108767638 121082172 141262534 163151457 211893801 217535276 282525068 326302914 423787602 652605828 847575204 2431733621 4863467242 7295200863 9726934484 14590401726 17022135347 29180803452 34044270694 51066406041 68088541388 102132812082 204265624164