Search a number
-
+
1678409713 = 29291719841
BaseRepresentation
bin110010000001010…
…0111111111110001
311022222020001021201
41210002213333301
511414133102323
6434314051201
756410150531
oct14402477761
94288201251
101678409713
11791467072
123aa119b01
1320995a356
1411cca54c1
159c53b8ad
hex640a7ff1

1678409713 has 8 divisors (see below), whose sum is σ = 1736968680. Its totient is φ = 1619896320.

The previous prime is 1678409701. The next prime is 1678409717. The reversal of 1678409713 is 3179048761.

It can be written as a sum of positive squares in 4 ways, for example, as 293676769 + 1384732944 = 17137^2 + 37212^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1678409713 - 213 = 1678401521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1678409717) 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 7 ways as a sum of consecutive naturals, for example, 74673 + ... + 94513.

It is an arithmetic number, because the mean of its divisors is an integer number (217121085).

Almost surely, 21678409713 is an apocalyptic number.

It is an amenable number.

1678409713 is a deficient number, since it is larger than the sum of its proper divisors (58558967).

1678409713 is a wasteful number, since it uses less digits than its factorization.

1678409713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22787.

The product of its (nonzero) digits is 254016, while the sum is 46.

The square root of 1678409713 is about 40968.3989557805. The cubic root of 1678409713 is about 1188.4091712681.

The spelling of 1678409713 in words is "one billion, six hundred seventy-eight million, four hundred nine thousand, seven hundred thirteen".

Divisors: 1 29 2917 19841 84593 575389 57876197 1678409713