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3827966741 is a prime number
BaseRepresentation
bin1110010000101010…
…0010001100010101
3100212202222212011222
43210022202030111
530314424413431
61431502340125
7163601115614
oct34412421425
910782885158
103827966741
111694873085
128a9b8a645
134900a9aa1
1428457187b
151760e257b
hexe42a2315

3827966741 has 2 divisors, whose sum is σ = 3827966742. Its totient is φ = 3827966740.

The previous prime is 3827966693. The next prime is 3827966743. The reversal of 3827966741 is 1476697283.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2066066116 + 1761900625 = 45454^2 + 41975^2 .

It is an emirp because it is prime and its reverse (1476697283) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3827966741 - 210 = 3827965717 is a prime.

It is a super-2 number, since 2×38279667412 = 29306658740404322162, which contains 22 as substring.

Together with 3827966743, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3827966743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1913983370 + 1913983371.

It is an arithmetic number, because the mean of its divisors is an integer number (1913983371).

Almost surely, 23827966741 is an apocalyptic number.

It is an amenable number.

3827966741 is a deficient number, since it is larger than the sum of its proper divisors (1).

3827966741 is an equidigital number, since it uses as much as digits as its factorization.

3827966741 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3048192, while the sum is 53.

The square root of 3827966741 is about 61870.5644147522. The cubic root of 3827966741 is about 1564.3096290508.

The spelling of 3827966741 in words is "three billion, eight hundred twenty-seven million, nine hundred sixty-six thousand, seven hundred forty-one".