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466213312664 = 231121134262171
BaseRepresentation
bin1101100100011000111…
…10101001100010011000
31122120101012121011101022
412302030132221202120
530114301102001124
6554101521142012
745453125525621
oct6621436514230
91576335534338
10466213312664
1116a7a1296200
1276431a8a908
1334c6b3ccba8
14187c9d10a48
15c1d986cc5e
hex6c8c7a9898

466213312664 has 48 divisors (see below), whose sum is σ = 969345777960. Its totient is φ = 210039737600.

The previous prime is 466213312597. The next prime is 466213312703.

466213312664 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2021702 + ... + 2240469.

Almost surely, 2466213312664 is an apocalyptic number.

466213312664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

466213312664 is an abundant number, since it is smaller than the sum of its proper divisors (503132465296).

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

466213312664 is a wasteful number, since it uses less digits than its factorization.

466213312664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4262312 (or 4262297 counting only the distinct ones).

The product of its digits is 746496, while the sum is 44.

It can be divided in two parts, 466213 and 312664, that added together give a palindrome (778877).

The spelling of 466213312664 in words is "four hundred sixty-six billion, two hundred thirteen million, three hundred twelve thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 22 44 88 113 121 226 242 452 484 904 968 1243 2486 4972 9944 13673 27346 54692 109384 4262171 8524342 17048684 34097368 46883881 93767762 187535524 375071048 481625323 515722691 963250646 1031445382 1926501292 2062890764 3853002584 4125781528 5297878553 10595757106 21191514212 42383028424 58276664083 116553328166 233106656332 466213312664