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3857385712429 is a prime number
BaseRepresentation
bin111000001000011110000…
…110101110101100101101
3111122202120211202020211101
4320020132012232230231
51001144411220244204
612112020350523101
7545454420365134
oct70103606565455
914582524666741
103857385712429
1112579a9744597
12523706806491
1321c999730522
14d49ac83091b
156a5159d4ea4
hex3821e1aeb2d

3857385712429 has 2 divisors, whose sum is σ = 3857385712430. Its totient is φ = 3857385712428.

The previous prime is 3857385712387. The next prime is 3857385712507. The reversal of 3857385712429 is 9242175837583.

3857385712429 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3835154306025 + 22231406404 = 1958355^2 + 149102^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3857385712429 is a prime.

It is a super-3 number, since 3×38573857124293 (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3857385712729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1928692856214 + 1928692856215.

It is an arithmetic number, because the mean of its divisors is an integer number (1928692856215).

Almost surely, 23857385712429 is an apocalyptic number.

It is an amenable number.

3857385712429 is a deficient number, since it is larger than the sum of its proper divisors (1).

3857385712429 is an equidigital number, since it uses as much as digits as its factorization.

3857385712429 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 101606400, while the sum is 64.

The spelling of 3857385712429 in words is "three trillion, eight hundred fifty-seven billion, three hundred eighty-five million, seven hundred twelve thousand, four hundred twenty-nine".