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2189664009 = 35132330137
BaseRepresentation
bin1000001010000011…
…1001111100001001
312122121020110100000
42002200321330021
513441023222014
61001140033213
7105155560041
oct20240717411
95577213300
102189664009
11a2400aa85
12511392809
1328b852ba0
1416ab4a721
15cc379509
hex82839f09

2189664009 has 48 divisors (see below), whose sum is σ = 3685997952. Its totient is φ = 1288856448.

The previous prime is 2189664007. The next prime is 2189664031. The reversal of 2189664009 is 9004669812.

It is a happy number.

2189664009 is a `hidden beast` number, since 2 + 189 + 66 + 400 + 9 = 666.

It is not a de Polignac number, because 2189664009 - 21 = 2189664007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2189664007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57589 + ... + 87725.

It is an arithmetic number, because the mean of its divisors is an integer number (76791624).

Almost surely, 22189664009 is an apocalyptic number.

It is an amenable number.

2189664009 is a deficient number, since it is larger than the sum of its proper divisors (1496333943).

2189664009 is a wasteful number, since it uses less digits than its factorization.

2189664009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30188 (or 30176 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 2189664009 is about 46793.8458453673. The cubic root of 2189664009 is about 1298.5514454891.

It can be divided in two parts, 21896 and 64009, that added together give a triangular number (85905 = T414).

The spelling of 2189664009 in words is "two billion, one hundred eighty-nine million, six hundred sixty-four thousand, nine".

Divisors: 1 3 9 13 23 27 39 69 81 117 207 243 299 351 621 897 1053 1863 2691 3159 5589 8073 24219 30137 72657 90411 271233 391781 693151 813699 1175343 2079453 2441097 3526029 6238359 7323291 9010963 10578087 18715077 27032889 31734261 56145231 81098667 95202783 168435693 243296001 729888003 2189664009