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1319318664 = 233411936947
BaseRepresentation
bin100111010100011…
…0011010010001000
310101221112022222020
41032220303102020
510200221144124
6334525324440
744460011046
oct11650632210
93357468866
101319318664
116177a2704
12309a06720
13180440241
14c730d396
157ac59379
hex4ea33488

1319318664 has 64 divisors (see below), whose sum is σ = 3396738240. Its totient is φ = 426762240.

The previous prime is 1319318633. The next prime is 1319318681. The reversal of 1319318664 is 4668139131.

It is an unprimeable number.

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, 186439 + ... + 193385.

It is an arithmetic number, because the mean of its divisors is an integer number (53074035).

Almost surely, 21319318664 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 1319318664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698369120).

1319318664 is an abundant number, since it is smaller than the sum of its proper divisors (2077419576).

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

1319318664 is a wasteful number, since it uses less digits than its factorization.

1319318664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7190 (or 7186 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 1319318664 is about 36322.4264607969. The cubic root of 1319318664 is about 1096.7725408245.

The spelling of 1319318664 in words is "one billion, three hundred nineteen million, three hundred eighteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 193 246 328 386 492 579 772 984 1158 1544 2316 4632 6947 7913 13894 15826 20841 23739 27788 31652 41682 47478 55576 63304 83364 94956 166728 189912 284827 569654 854481 1139308 1340771 1708962 2278616 2681542 3417924 4022313 5363084 6835848 8044626 10726168 16089252 32178504 54971611 109943222 164914833 219886444 329829666 439772888 659659332 1319318664