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2864710314 = 234531093061
BaseRepresentation
bin1010101011000000…
…0000001010101010
321101122110100210000
42222300000022222
521331331212224
61152132403430
7130663431054
oct25260001252
97348410700
102864710314
111240066294
1267b476576
1336866617b
141d266a8d4
1511b76d0c9
hexaac002aa

2864710314 has 80 divisors (see below), whose sum is σ = 6602345640. Its totient is φ = 927987840.

The previous prime is 2864710213. The next prime is 2864710319. The reversal of 2864710314 is 4130174682.

2864710314 is a `hidden beast` number, since 2 + 8 + 647 + 1 + 0 + 3 + 1 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2832049089 + 32661225 = 53217^2 + 5715^2 .

It is not an unprimeable number, because it can be changed into a prime (2864710319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 934344 + ... + 937404.

Almost surely, 22864710314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2864710314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3301172820).

2864710314 is an abundant number, since it is smaller than the sum of its proper divisors (3737635326).

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

2864710314 is a wasteful number, since it uses less digits than its factorization.

2864710314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3237 (or 3228 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2864710314 is about 53522.9886497382. The cubic root of 2864710314 is about 1420.2350853927.

Adding to 2864710314 its reverse (4130174682), we get a palindrome (6994884996).

The spelling of 2864710314 in words is "two billion, eight hundred sixty-four million, seven hundred ten thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 109 159 162 218 318 327 477 654 954 981 1431 1962 2862 2943 3061 4293 5777 5886 6122 8586 8829 9183 11554 17331 17658 18366 27549 34662 51993 55098 82647 103986 155979 162233 165294 247941 311958 324466 333649 467937 486699 495882 667298 935874 973398 1000947 1460097 2001894 2920194 3002841 4380291 6005682 8760582 9008523 13140873 17683397 18017046 26281746 27025569 35366794 53050191 54051138 106100382 159150573 318301146 477451719 954903438 1432355157 2864710314