Search a number
-
+
35406963046957 is a prime number
BaseRepresentation
bin10000000110011110100110…
…11101000111101000101101
311122100212120010120200122011
420003033103131013220231
514120101430020000312
6203145422334121221
710313032360103665
oct1003172335075055
9148325503520564
1035406963046957
1110311010645177
123b7a134350211
13169ab295a9a78
148a59c59931a5
1541603a35dda7
hex2033d3747a2d

35406963046957 has 2 divisors, whose sum is σ = 35406963046958. Its totient is φ = 35406963046956.

The previous prime is 35406963046933. The next prime is 35406963046999. The reversal of 35406963046957 is 75964036960453.

35406963046957 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31288685389641 + 4118277657316 = 5593629^2 + 2029354^2 .

It is a cyclic number.

It is not a de Polignac number, because 35406963046957 - 231 = 35404815563309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 35406963046892 and 35406963046901.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (35406963046927) 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, 17703481523478 + 17703481523479.

It is an arithmetic number, because the mean of its divisors is an integer number (17703481523479).

Almost surely, 235406963046957 is an apocalyptic number.

It is an amenable number.

35406963046957 is a deficient number, since it is larger than the sum of its proper divisors (1).

35406963046957 is an equidigital number, since it uses as much as digits as its factorization.

35406963046957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 440899200, while the sum is 67.

The spelling of 35406963046957 in words is "thirty-five trillion, four hundred six billion, nine hundred sixty-three million, forty-six thousand, nine hundred fifty-seven".