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180064664 = 231312713633
BaseRepresentation
bin10101011101110…
…01000110011000
3110112211020021122
422232321012120
5332044032124
625511224412
74314344603
oct1256710630
9415736248
10180064664
119270727a
1250378108
132b3c7450
1419cb333a
1510c1c75e
hexabb9198

180064664 has 32 divisors (see below), whose sum is σ = 366481920. Its totient is φ = 82446336.

The previous prime is 180064627. The next prime is 180064669. The reversal of 180064664 is 466460081.

180064664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180064669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6392 + ... + 20024.

It is an arithmetic number, because the mean of its divisors is an integer number (11452560).

Almost surely, 2180064664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180064664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183240960).

180064664 is an abundant number, since it is smaller than the sum of its proper divisors (186417256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

180064664 is a wasteful number, since it uses less digits than its factorization.

180064664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13779 (or 13775 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 180064664 is about 13418.8175335981. The cubic root of 180064664 is about 564.6892216269.

The spelling of 180064664 in words is "one hundred eighty million, sixty-four thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 26 52 104 127 254 508 1016 1651 3302 6604 13208 13633 27266 54532 109064 177229 354458 708916 1417832 1731391 3462782 6925564 13851128 22508083 45016166 90032332 180064664