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16946704145 = 57269170221
BaseRepresentation
bin11111100100001101…
…00010111100010001
31121202001012202202002
433302012202330101
5234201324013040
611441334403345
71136645415500
oct176206427421
947661182662
1016946704145
117206a77718
12334b500555
1317a0c52ab7
14b6a9a8837
15692b9aa15
hex3f21a2f11

16946704145 has 12 divisors (see below), whose sum is σ = 23656215924. Its totient is φ = 11620596960.

The previous prime is 16946704141. The next prime is 16946704189. The reversal of 16946704145 is 54140764961.

16946704145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1816720129 + 15129984016 = 42623^2 + 123004^2 .

It is not a de Polignac number, because 16946704145 - 22 = 16946704141 is a prime.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 16946704145.

It is not an unprimeable number, because it can be changed into a prime (16946704141) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 34584866 + ... + 34585355.

It is an arithmetic number, because the mean of its divisors is an integer number (1971351327).

Almost surely, 216946704145 is an apocalyptic number.

It is an amenable number.

16946704145 is a deficient number, since it is larger than the sum of its proper divisors (6709511779).

16946704145 is an equidigital number, since it uses as much as digits as its factorization.

16946704145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69170240 (or 69170233 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 47.

The spelling of 16946704145 in words is "sixteen billion, nine hundred forty-six million, seven hundred four thousand, one hundred forty-five".

Divisors: 1 5 7 35 49 245 69170221 345851105 484191547 2420957735 3389340829 16946704145