Search a number
-
+
1683640161 = 3477334051
BaseRepresentation
bin110010001011010…
…0100111101100001
311100100001210010000
41210112210331201
511422002441121
6435022130213
756502463620
oct14426447541
94310053100
101683640161
11794409855
123aba20969
1320aa6bca8
1411d8676b7
159cc21526
hex645a4f61

1683640161 has 40 divisors (see below), whose sum is σ = 2878994624. Its totient is φ = 960530400.

The previous prime is 1683640151. The next prime is 1683640171. The reversal of 1683640161 is 1610463861.

1683640161 is a `hidden beast` number, since 1 + 6 + 8 + 3 + 640 + 1 + 6 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (1683640151) and next prime (1683640171).

It is not a de Polignac number, because 1683640161 - 29 = 1683639649 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1683640121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 413586 + ... + 417636.

Almost surely, 21683640161 is an apocalyptic number.

It is an amenable number.

1683640161 is a deficient number, since it is larger than the sum of its proper divisors (1195354463).

1683640161 is an equidigital number, since it uses as much as digits as its factorization.

1683640161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4803 (or 4794 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1683640161 is about 41032.1844531826. The cubic root of 1683640161 is about 1189.6423756467.

The spelling of 1683640161 in words is "one billion, six hundred eighty-three million, six hundred forty thousand, one hundred sixty-one".

Divisors: 1 3 7 9 21 27 63 81 189 567 733 2199 4051 5131 6597 12153 15393 19791 28357 36459 46179 59373 85071 109377 138537 255213 328131 415611 765639 2296917 2969383 8908149 20785681 26724447 62357043 80173341 187071129 240520023 561213387 1683640161