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16584030841 = 72183972
BaseRepresentation
bin11110111000111110…
…00011101001111001
31120210202210001111111
433130133003221321
5232431002441331
611341341200321
71124652636100
oct173437035171
946722701444
1016584030841
117040286914
123269b600a1
131743a80301
14b3475d037
15670e0bdb1
hex3dc7c3a79

16584030841 has 9 divisors (see below), whose sum is σ = 19292676399. Its totient is φ = 14214110904.

The previous prime is 16584030821. The next prime is 16584030907. The reversal of 16584030841 is 14803048561.

The square root of 16584030841 is 128779.

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

It can be written as a sum of positive squares in only one way, i.e., 15031986025 + 1552044816 = 122605^2 + 39396^2 .

It is not a de Polignac number, because 16584030841 - 25 = 16584030809 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 16584030794 and 16584030803.

It is not an unprimeable number, because it can be changed into a prime (16584030821) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 892255 + ... + 910651.

It is an arithmetic number, because the mean of its divisors is an integer number (2143630711).

Almost surely, 216584030841 is an apocalyptic number.

16584030841 is the 128779-th square number.

16584030841 is the 64390-th centered octagonal number.

It is an amenable number.

16584030841 is a deficient number, since it is larger than the sum of its proper divisors (2708645558).

16584030841 is an frugal number, since it uses more digits than its factorization.

16584030841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36808 (or 18404 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 16584030841 in words is "sixteen billion, five hundred eighty-four million, thirty thousand, eight hundred forty-one".

Divisors: 1 7 49 18397 128779 901453 338449609 2369147263 16584030841