Search a number
-
+
461461830081 = 374431489889
BaseRepresentation
bin1101011011100010100…
…01001011100111000001
31122010010001211211121220
412231301101023213001
530030033212030311
6551554224305253
745224311560000
oct6556121134701
91563101754556
10461461830081
11168783199a9a
1275526772229
1334691bb4c35
1418498c60c37
15c00c656206
hex6b7144b9c1

461461830081 has 40 divisors (see below), whose sum is σ = 734480012640. Its totient is φ = 257559918336.

The previous prime is 461461830073. The next prime is 461461830091. The reversal of 461461830081 is 180038164164.

It is not a de Polignac number, because 461461830081 - 23 = 461461830073 is a prime.

It is a super-2 number, since 2×4614618300812 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (461461830091) 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 39 ways as a sum of consecutive naturals, for example, 435216 + ... + 1054673.

It is an arithmetic number, because the mean of its divisors is an integer number (18362000316).

Almost surely, 2461461830081 is an apocalyptic number.

It is an amenable number.

461461830081 is a deficient number, since it is larger than the sum of its proper divisors (273018182559).

461461830081 is an equidigital number, since it uses as much as digits as its factorization.

461461830081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489963 (or 1489942 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 461461830081 in words is "four hundred sixty-one billion, four hundred sixty-one million, eight hundred thirty thousand, eighty-one".

Divisors: 1 3 7 21 43 49 129 147 301 343 903 1029 2107 2401 6321 7203 14749 44247 103243 309729 1489889 4469667 10429223 31287669 64065227 73004561 192195681 219013683 448456589 511031927 1345369767 1533095781 3139196123 3577223489 9417588369 10731670467 21974372861 65923118583 153820610027 461461830081