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1684444861 = 113141211571
BaseRepresentation
bin110010001100110…
…1001011010111101
311100101120122221201
41210121221122331
511422204213421
6435051255501
756512354651
oct14431513275
94311518851
101684444861
117949093a0
123b014a591
1320ac91348
1411d9d6a61
159cd2eb91
hex646696bd

1684444861 has 32 divisors (see below), whose sum is σ = 1955745792. Its totient is φ = 1436400000.

The previous prime is 1684444819. The next prime is 1684444889.

1684444861 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1684444861 - 217 = 1684313789 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1684444061) 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 31 ways as a sum of consecutive naturals, for example, 2949706 + ... + 2950276.

It is an arithmetic number, because the mean of its divisors is an integer number (61117056).

Almost surely, 21684444861 is an apocalyptic number.

1684444861 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1684444861 is a deficient number, since it is larger than the sum of its proper divisors (271300931).

1684444861 is a wasteful number, since it uses less digits than its factorization.

1684444861 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865.

The product of its digits is 589824, while the sum is 46.

The square root of 1684444861 is about 41041.9889990726. The cubic root of 1684444861 is about 1189.8318763027.

The spelling of 1684444861 in words is "one billion, six hundred eighty-four million, four hundred forty-four thousand, eight hundred sixty-one".

Divisors: 1 11 31 41 211 341 451 571 1271 2321 6281 6541 8651 13981 17701 23411 71951 95161 120481 194711 257521 268181 725741 1325291 2949991 3734911 4939721 7983151 41084021 54336931 153131351 1684444861