Search a number
-
+
46906767072 = 25321121346039
BaseRepresentation
bin101011101011110111…
…000111011011100000
311111002000100122202100
4223223313013123200
51232031113021242
633314302450400
73250251640644
oct535367073340
9144060318670
1046906767072
1118990713400
129110b93a00
134566c73b99
1423ad9b8c24
15134803654c
hexaebdc76e0

46906767072 has 108 divisors (see below), whose sum is σ = 146620099080. Its totient is φ = 14214161280.

The previous prime is 46906767071. The next prime is 46906767077. The reversal of 46906767072 is 27076760964.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46906767071) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 638172 + ... + 707867.

It is an arithmetic number, because the mean of its divisors is an integer number (1357593510).

Almost surely, 246906767072 is an apocalyptic number.

It is an amenable number.

46906767072 is an abundant number, since it is smaller than the sum of its proper divisors (99713332008).

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

46906767072 is a wasteful number, since it uses less digits than its factorization.

46906767072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346077 (or 1346055 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 46906767072 in words is "forty-six billion, nine hundred six million, seven hundred sixty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 121 132 144 176 198 242 264 288 352 363 396 484 528 726 792 968 1056 1089 1452 1584 1936 2178 2904 3168 3872 4356 5808 8712 11616 17424 34848 1346039 2692078 4038117 5384156 8076234 10768312 12114351 14806429 16152468 21536624 24228702 29612858 32304936 43073248 44419287 48457404 59225716 64609872 88838574 96914808 118451432 129219744 133257861 162870719 177677148 193829616 236902864 266515722 325741438 355354296 387659232 473805728 488612157 533031444 651482876 710708592 977224314 1066062888 1302965752 1421417184 1465836471 1954448628 2132125776 2605931504 2931672942 3908897256 4264251552 5211863008 5863345884 7817794512 11726691768 15635589024 23453383536 46906767072