Search a number
-
+
466289982664 = 231131170927413
BaseRepresentation
bin1101100100100010000…
…11000111110011001000
31122120120112212101211221
412302101003013303020
530114430213421124
6554113300331424
745455046312412
oct6622103076310
91576515771757
10466289982664
1116a8305a2540
12764536a3b74
1334c8126565c
14187d618b9b2
15c1e1464ce4
hex6c910c7cc8

466289982664 has 32 divisors (see below), whose sum is σ = 984541904640. Its totient is φ = 205112894400.

The previous prime is 466289982647. The next prime is 466289982671.

466289982664 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 466289982593 and 466289982602.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 85460979 + ... + 85466434.

It is an arithmetic number, because the mean of its divisors is an integer number (30766934520).

Almost surely, 2466289982664 is an apocalyptic number.

466289982664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

466289982664 is an abundant number, since it is smaller than the sum of its proper divisors (518251921976).

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

466289982664 is a wasteful number, since it uses less digits than its factorization.

466289982664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170927461 (or 170927457 counting only the distinct ones).

The product of its digits is 429981696, while the sum is 70.

The spelling of 466289982664 in words is "four hundred sixty-six billion, two hundred eighty-nine million, nine hundred eighty-two thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 248 341 682 1364 2728 170927413 341854826 683709652 1367419304 1880201543 3760403086 5298749803 7520806172 10597499606 15041612344 21194999212 42389998424 58286247833 116572495666 233144991332 466289982664