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413665303157 is a prime number
BaseRepresentation
bin1100000010100000101…
…11111001101001110101
31110112202001020200210222
412001100113321221311
523234141304200112
6514011335024125
741613004030001
oct6012027715165
91415661220728
10413665303157
1114a486308977
126820780b045
13300157c1642
1416043033701
15ab61467372
hex60505f9a75

413665303157 has 2 divisors, whose sum is σ = 413665303158. Its totient is φ = 413665303156.

The previous prime is 413665303127. The next prime is 413665303189. The reversal of 413665303157 is 751303566314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 292276471876 + 121388831281 = 540626^2 + 348409^2 .

It is a cyclic number.

It is not a de Polignac number, because 413665303157 - 232 = 409370335861 is a prime.

It is a super-2 number, since 2×4136653031572 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413665303127) 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, 206832651578 + 206832651579.

It is an arithmetic number, because the mean of its divisors is an integer number (206832651579).

Almost surely, 2413665303157 is an apocalyptic number.

It is an amenable number.

413665303157 is a deficient number, since it is larger than the sum of its proper divisors (1).

413665303157 is an equidigital number, since it uses as much as digits as its factorization.

413665303157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 680400, while the sum is 44.

The spelling of 413665303157 in words is "four hundred thirteen billion, six hundred sixty-five million, three hundred three thousand, one hundred fifty-seven".