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34032992957 is a prime number
BaseRepresentation
bin11111101100100001…
…100100001010111101
310020211211002011122122
4133230201210022331
51024144421233312
623345021052325
72313240444545
oct375441441275
9106754064578
1034032992957
1113484812367
1267196b70a5
133294a98b72
14190bd0a325
15d42c19b72
hex7ec8642bd

34032992957 has 2 divisors, whose sum is σ = 34032992958. Its totient is φ = 34032992956.

The previous prime is 34032992881. The next prime is 34032992989. The reversal of 34032992957 is 75929923043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18436479961 + 15596512996 = 135781^2 + 124886^2 .

It is a cyclic number.

It is not a de Polignac number, because 34032992957 - 214 = 34032976573 is a prime.

It is a super-2 number, since 2×340329929572 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34032992899 and 34032992908.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34031992957) 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, 17016496478 + 17016496479.

It is an arithmetic number, because the mean of its divisors is an integer number (17016496479).

Almost surely, 234032992957 is an apocalyptic number.

It is an amenable number.

34032992957 is a deficient number, since it is larger than the sum of its proper divisors (1).

34032992957 is an equidigital number, since it uses as much as digits as its factorization.

34032992957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3674160, while the sum is 53.

The spelling of 34032992957 in words is "thirty-four billion, thirty-two million, nine hundred ninety-two thousand, nine hundred fifty-seven".