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65296306688 = 292324912
BaseRepresentation
bin111100110011111101…
…101001001000000000
320020112121112001200012
4330303331221020000
52032211323303223
645555142244052
74501050310034
oct746375511000
9206477461605
1065296306688
1125768076728
12107a3726628
136207ac2782
1432360461c4
151a726d8c78
hexf33f69200

65296306688 has 90 divisors (see below), whose sum is σ = 136662435987. Its totient is φ = 31165066240.

The previous prime is 65296306681. The next prime is 65296306729. The reversal of 65296306688 is 88660369256.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 32648153344 + 32648153344 = 180688^2 + 180688^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=180688.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (65296306681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 132986123 + ... + 132986613.

Almost surely, 265296306688 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 65296306688

65296306688 is an abundant number, since it is smaller than the sum of its proper divisors (71366129299).

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

65296306688 is an frugal number, since it uses more digits than its factorization.

65296306688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 59.

The spelling of 65296306688 in words is "sixty-five billion, two hundred ninety-six million, three hundred six thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 491 512 529 736 982 1058 1472 1964 2116 2944 3928 4232 5888 7856 8464 11293 11776 15712 16928 22586 31424 33856 45172 62848 67712 90344 125696 135424 180688 241081 251392 259739 270848 361376 482162 519478 722752 964324 1038956 1445504 1928648 2077912 2891008 3857296 4155824 5544863 5782016 7714592 8311648 11089726 15429184 16623296 22179452 30858368 33246592 44358904 61716736 66493184 88717808 123433472 127531849 132986368 177435616 255063698 354871232 510127396 709742464 1020254792 1419484928 2040509584 2838969856 4081019168 8162038336 16324076672 32648153344 65296306688