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466376547637009 = 3725836692
BaseRepresentation
bin110101000001010101100000…
…0011101000001011100010001
32021011022011101111000002001101
41222002223000131001130101
5442112103132143341014
64331522232255104401
7200143410421453162
oct15202530035013421
92234264344002041
10466376547637009
11125669201803079
1244382a96212101
1317030173091aa9
148324a6132d769
1538db7ce699474
hex1a82ac0741711

466376547637009 has 9 divisors (see below), whose sum is σ = 479322809920017. Its totient is φ = 453770998632144.

The previous prime is 466376547637003. The next prime is 466376547637027. The reversal of 466376547637009 is 900736745673664.

The square root of 466376547637009 is 21595753.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 369055797180625 + 97320750456384 = 19210825^2 + 9865128^2 .

It is not a de Polignac number, because 466376547637009 - 23 = 466376547637001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (466376547637001) 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 8 ways as a sum of consecutive naturals, for example, 798751027 + ... + 799334695.

It is an arithmetic number, because the mean of its divisors is an integer number (53258089991113).

Almost surely, 2466376547637009 is an apocalyptic number.

466376547637009 is the 21595753-rd square number.

466376547637009 is the 10797877-th centered octagonal number.

It is an amenable number.

466376547637009 is a deficient number, since it is larger than the sum of its proper divisors (12946262283008).

466376547637009 is an frugal number, since it uses more digits than its factorization.

466376547637009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167412 (or 583706 counting only the distinct ones).

The product of its (nonzero) digits is 2880541440, while the sum is 73.

The spelling of 466376547637009 in words is "four hundred sixty-six trillion, three hundred seventy-six billion, five hundred forty-seven million, six hundred thirty-seven thousand, nine".

Divisors: 1 37 1369 583669 21595753 799042861 340669501561 12604771557757 466376547637009