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132764057653 is a prime number
BaseRepresentation
bin111101110100101011…
…0101100000000110101
3110200200112222220220111
41323221112230000311
54133400044321103
6140554014303021
712410005604323
oct1735126540065
9420615886814
10132764057653
11513399385a7
12218924b7a71
13c69a7290c6
1465d6614d13
1536c084d86d
hex1ee95ac035

132764057653 has 2 divisors, whose sum is σ = 132764057654. Its totient is φ = 132764057652.

The previous prime is 132764057617. The next prime is 132764057669. The reversal of 132764057653 is 356750467231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92953033924 + 39811023729 = 304882^2 + 199527^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-132764057653 is a prime.

It is a super-3 number, since 3×1327640576533 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132764057597 and 132764057606.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (132764057603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66382028826 + 66382028827.

It is an arithmetic number, because the mean of its divisors is an integer number (66382028827).

Almost surely, 2132764057653 is an apocalyptic number.

It is an amenable number.

132764057653 is a deficient number, since it is larger than the sum of its proper divisors (1).

132764057653 is an equidigital number, since it uses as much as digits as its factorization.

132764057653 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3175200, while the sum is 49.

The spelling of 132764057653 in words is "one hundred thirty-two billion, seven hundred sixty-four million, fifty-seven thousand, six hundred fifty-three".