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33882417053 is a prime number
BaseRepresentation
bin11111100011100011…
…001010011110011101
310020110022202010100022
4133203203022132131
51023342344321203
623322041441525
72306431536002
oct374343123635
9106408663308
1033882417053
1113407817471
1266971a02a5
13326c827ab4
1418d5d118a9
15d348c4a38
hex7e38ca79d

33882417053 has 2 divisors, whose sum is σ = 33882417054. Its totient is φ = 33882417052.

The previous prime is 33882417047. The next prime is 33882417073. The reversal of 33882417053 is 35071428833.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30813589444 + 3068827609 = 175538^2 + 55397^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33882417053 is a prime.

It is a super-2 number, since 2×338824170532 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33882416995 and 33882417013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33882417073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16941208526 + 16941208527.

It is an arithmetic number, because the mean of its divisors is an integer number (16941208527).

Almost surely, 233882417053 is an apocalyptic number.

It is an amenable number.

33882417053 is a deficient number, since it is larger than the sum of its proper divisors (1).

33882417053 is an equidigital number, since it uses as much as digits as its factorization.

33882417053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 483840, while the sum is 44.

The spelling of 33882417053 in words is "thirty-three billion, eight hundred eighty-two million, four hundred seventeen thousand, fifty-three".