Search a number
-
+
494203548006 = 23272798979693
BaseRepresentation
bin1110011000100001101…
…00111011000101100110
31202020121220011102221100
413030100310323011212
531044112102014011
61015011201100530
750463552563400
oct7142064730546
91666556142840
10494203548006
11180655023303
127b943927746
13377ac2ac21c
1419cc347bb70
15ccc6d05d56
hex7310d3b166

494203548006 has 144 divisors (see below), whose sum is σ = 1275550286400. Its totient is φ = 137845483776.

The previous prime is 494203548001. The next prime is 494203548017. The reversal of 494203548006 is 600845302494.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (494203548001) 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 71 ways as a sum of consecutive naturals, for example, 6161496 + ... + 6241188.

It is an arithmetic number, because the mean of its divisors is an integer number (8857988100).

Almost surely, 2494203548006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 494203548006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637775143200).

494203548006 is an abundant number, since it is smaller than the sum of its proper divisors (781346738394).

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

494203548006 is a wasteful number, since it uses less digits than its factorization.

494203548006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79883 (or 79873 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 494203548006 in words is "four hundred ninety-four billion, two hundred three million, five hundred forty-eight thousand, six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 79 89 98 126 147 158 178 237 267 294 441 474 534 553 623 711 801 882 1106 1246 1422 1602 1659 1869 3318 3738 3871 4361 4977 5607 7031 7742 8722 9954 11214 11613 13083 14062 21093 23226 26166 34839 39249 42186 49217 63279 69678 78498 79693 98434 126558 147651 159386 239079 295302 344519 442953 478158 557851 689038 717237 885906 1033557 1115702 1434474 1673553 2067114 3100671 3347106 3904957 5020659 6201342 6295747 7092677 7809914 10041318 11714871 12591494 14185354 18887241 21278031 23429742 35144613 37774482 42556062 44070229 49648739 56661723 63834093 70289226 88140458 99297478 113323446 127668186 132210687 148946217 264421374 297892434 308491603 347541173 396632061 446838651 560321483 616983206 695082346 793264122 893677302 925474809 1042623519 1120642966 1680964449 1850949618 2085247038 2776424427 3127870557 3361928898 3922250381 5042893347 5552848854 6255741114 7844500762 10085786694 11766751143 23533502286 27455752667 35300253429 54911505334 70600506858 82367258001 164734516002 247101774003 494203548006