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427454666454724 = 22705533151465157
BaseRepresentation
bin110000100110001001000101…
…1100011010011011011000100
32002001111021012122211121020221
41201030102023203103123010
5422011404124103022344
64113041543550434124
7156015403055223466
oct14114221343233304
92061437178747227
10427454666454724
11114222562547977
123bb376b2b02944
1315468a5725236c
14777acb826a136
153464124470184
hex184c48b8d36c4

427454666454724 has 12 divisors (see below), whose sum is σ = 748046731490604. Its totient is φ = 213727028885984.

The previous prime is 427454666454721. The next prime is 427454666454731.

427454666454724 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 221705191093824 + 205749475360900 = 14889768^2 + 14343970^2 .

It is a super-3 number, since 3×4274546664547243 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (427454666454721) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 72910447 + ... + 78554710.

It is an arithmetic number, because the mean of its divisors is an integer number (62337227624217).

Almost surely, 2427454666454724 is an apocalyptic number.

It is an amenable number.

427454666454724 is a deficient number, since it is larger than the sum of its proper divisors (320592065035880).

427454666454724 is a wasteful number, since it uses less digits than its factorization.

427454666454724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152170694 (or 152170692 counting only the distinct ones).

The product of its digits is 4335206400, while the sum is 70.

The spelling of 427454666454724 in words is "four hundred twenty-seven trillion, four hundred fifty-four billion, six hundred sixty-six million, four hundred fifty-four thousand, seven hundred twenty-four".

Divisors: 1 2 4 705533 1411066 2822132 151465157 302930314 605860628 106863666613681 213727333227362 427454666454724