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1329825864 = 23361214891
BaseRepresentation
bin100111101000011…
…1000100001001000
310102200022011010210
41033100320201020
510210413411424
6335542441120
744645222223
oct11720704110
93380264123
101329825864
11622719944
123114331a0
1318267b913
14c88865ba
157bb32729
hex4f438848

1329825864 has 48 divisors (see below), whose sum is σ = 3380186160. Its totient is φ = 435979200.

The previous prime is 1329825863. The next prime is 1329825877. The reversal of 1329825864 is 4685289231.

It is not an unprimeable number, because it can be changed into a prime (1329825863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81859 + ... + 96749.

It is an arithmetic number, because the mean of its divisors is an integer number (70420545).

Almost surely, 21329825864 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 1329825864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690093080).

1329825864 is an abundant number, since it is smaller than the sum of its proper divisors (2050360296).

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

1329825864 is a wasteful number, since it uses less digits than its factorization.

1329825864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15022 (or 14957 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 1329825864 is about 36466.7775379180. Note that the first 3 decimals coincide. The cubic root of 1329825864 is about 1099.6764513988.

The spelling of 1329825864 in words is "one billion, three hundred twenty-nine million, eight hundred twenty-five thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 366 488 732 1464 3721 7442 11163 14884 14891 22326 29768 29782 44652 44673 59564 89304 89346 119128 178692 357384 908351 1816702 2725053 3633404 5450106 7266808 10900212 21800424 55409411 110818822 166228233 221637644 332456466 443275288 664912932 1329825864