Search a number
-
+
9968410157 is a prime number
BaseRepresentation
bin10010100100010100…
…11101111000101101
3221201201022201000012
421102022131320231
5130403403111112
64325053343005
7502012042166
oct112212357055
927651281005
109968410157
1142559a9102
121b22497a65
13c2b2a9964
146a7c9c76d
153d521d022
hex25229de2d

9968410157 has 2 divisors, whose sum is σ = 9968410158. Its totient is φ = 9968410156.

The previous prime is 9968410129. The next prime is 9968410163. The reversal of 9968410157 is 7510148699.

9968410157 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., 9723143236 + 245266921 = 98606^2 + 15661^2 .

It is a cyclic number.

It is not a de Polignac number, because 9968410157 - 218 = 9968148013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9968410757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4984205078 + 4984205079.

It is an arithmetic number, because the mean of its divisors is an integer number (4984205079).

Almost surely, 29968410157 is an apocalyptic number.

It is an amenable number.

9968410157 is a deficient number, since it is larger than the sum of its proper divisors (1).

9968410157 is an equidigital number, since it uses as much as digits as its factorization.

9968410157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 544320, while the sum is 50.

The square root of 9968410157 is about 99841.9258478121. The cubic root of 9968410157 is about 2152.1636885441.

The spelling of 9968410157 in words is "nine billion, nine hundred sixty-eight million, four hundred ten thousand, one hundred fifty-seven".