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1004406642133 is a prime number
BaseRepresentation
bin11101001110110110100…
…11010001010111010101
310120000112211022001001221
432213123103101113111
5112424011100022013
62045230144050341
7132365063410126
oct16473323212725
93500484261057
101004406642133
11357a6a4013a4
121427b19039b1
137393b215bab
14368837b004d
151b1d856308d
hexe9db4d15d5

1004406642133 has 2 divisors, whose sum is σ = 1004406642134. Its totient is φ = 1004406642132.

The previous prime is 1004406642079. The next prime is 1004406642157. The reversal of 1004406642133 is 3312466044001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 700063543204 + 304343098929 = 836698^2 + 551673^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1004406642133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1004406642163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502203321066 + 502203321067.

It is an arithmetic number, because the mean of its divisors is an integer number (502203321067).

Almost surely, 21004406642133 is an apocalyptic number.

It is an amenable number.

1004406642133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1004406642133 is an equidigital number, since it uses as much as digits as its factorization.

1004406642133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 34.

The spelling of 1004406642133 in words is "one trillion, four billion, four hundred six million, six hundred forty-two thousand, one hundred thirty-three".