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1329061888 = 213731143
BaseRepresentation
bin100111100110111…
…1110000000000000
310102121212100011101
41033031332000000
510210214440023
6335514224144
744635561000
oct11715760000
93377770141
101329061888
11622247960
12311125054
13182471c6b
14c8728000
157ba311ad
hex4f37e000

1329061888 has 224 divisors, whose sum is σ = 3460089600. Its totient is φ = 505774080.

The previous prime is 1329061847. The next prime is 1329061889. The reversal of 1329061888 is 8881609231.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1329061889) 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 15 ways as a sum of consecutive naturals, for example, 30908395 + ... + 30908437.

Almost surely, 21329061888 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 1329061888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730044800).

1329061888 is an abundant number, since it is smaller than the sum of its proper divisors (2131027712).

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

1329061888 is an frugal number, since it uses more digits than its factorization.

1329061888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 46.

The square root of 1329061888 is about 36456.3010740256. The cubic root of 1329061888 is about 1099.4658254883.

The spelling of 1329061888 in words is "one billion, three hundred twenty-nine million, sixty-one thousand, eight hundred eighty-eight".