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384258345157 is a prime number
BaseRepresentation
bin1011001011101111001…
…01010000100011000101
31100201211121212110010101
411211313211100203011
522243430114021112
6452305325524101
736522165020401
oct5456745204305
91321747773111
10384258345157
11138a659000a5
126257b413631
132a30a25a08b
1414853680101
159ede934757
hex59779508c5

384258345157 has 2 divisors, whose sum is σ = 384258345158. Its totient is φ = 384258345156.

The previous prime is 384258345091. The next prime is 384258345161. The reversal of 384258345157 is 751543852483.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 298122552036 + 86135793121 = 546006^2 + 293489^2 .

It is a cyclic number.

It is not a de Polignac number, because 384258345157 - 235 = 349898606789 is a prime.

It is a super-2 number, since 2×3842583451572 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 384258345098 and 384258345107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (384258345187) 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, 192129172578 + 192129172579.

It is an arithmetic number, because the mean of its divisors is an integer number (192129172579).

Almost surely, 2384258345157 is an apocalyptic number.

It is an amenable number.

384258345157 is a deficient number, since it is larger than the sum of its proper divisors (1).

384258345157 is an equidigital number, since it uses as much as digits as its factorization.

384258345157 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 16128000, while the sum is 55.

The spelling of 384258345157 in words is "three hundred eighty-four billion, two hundred fifty-eight million, three hundred forty-five thousand, one hundred fifty-seven".