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208935958157 is a prime number
BaseRepresentation
bin1100001010010110001…
…1011011011010001101
3201222022002212101121122
43002211203123122031
511410400101130112
6235552302410325
721044425225103
oct3024543333215
9658262771548
10208935958157
11806779a0893
12345b02909a5
1316919738894
14a180bc5c73
15567cc00872
hex30a58db68d

208935958157 has 2 divisors, whose sum is σ = 208935958158. Its totient is φ = 208935958156.

The previous prime is 208935958097. The next prime is 208935958169. The reversal of 208935958157 is 751859539802.

208935958157 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 191646075076 + 17289883081 = 437774^2 + 131491^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-208935958157 is a prime.

It is a super-2 number, since 2×2089359581572 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 208935958157.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (208935958457) 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, 104467979078 + 104467979079.

It is an arithmetic number, because the mean of its divisors is an integer number (104467979079).

Almost surely, 2208935958157 is an apocalyptic number.

It is an amenable number.

208935958157 is a deficient number, since it is larger than the sum of its proper divisors (1).

208935958157 is an equidigital number, since it uses as much as digits as its factorization.

208935958157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216000, while the sum is 62.

The spelling of 208935958157 in words is "two hundred eight billion, nine hundred thirty-five million, nine hundred fifty-eight thousand, one hundred fifty-seven".