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385179876377 is a prime number
BaseRepresentation
bin1011001101011101000…
…00100111110000011001
31100211012211220002022022
411212232200213300121
522302322022021002
6452541005304225
736554054633342
oct5465640476031
91324184802268
10385179876377
11139398aa914a
1262797b65075
132a426151b1a
14148ddc030c9
15a0457b5ba2
hex59ae827c19

385179876377 has 2 divisors, whose sum is σ = 385179876378. Its totient is φ = 385179876376.

The previous prime is 385179876343. The next prime is 385179876407. The reversal of 385179876377 is 773678971583.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 382689467161 + 2490409216 = 618619^2 + 49904^2 .

It is a cyclic number.

It is not a de Polignac number, because 385179876377 - 26 = 385179876313 is a prime.

It is a super-2 number, since 2×3851798763772 (a number of 24 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 385179876377.

It is not a weakly prime, because it can be changed into another prime (385179876307) 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, 192589938188 + 192589938189.

It is an arithmetic number, because the mean of its divisors is an integer number (192589938189).

Almost surely, 2385179876377 is an apocalyptic number.

It is an amenable number.

385179876377 is a deficient number, since it is larger than the sum of its proper divisors (1).

385179876377 is an equidigital number, since it uses as much as digits as its factorization.

385179876377 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 373403520, while the sum is 71.

The spelling of 385179876377 in words is "three hundred eighty-five billion, one hundred seventy-nine million, eight hundred seventy-six thousand, three hundred seventy-seven".