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3762000413 is a prime number
BaseRepresentation
bin1110000000111011…
…1001001000011101
3100201011212102101122
43200032321020131
530201033003123
61421144420325
7162140322143
oct34016711035
910634772348
103762000413
111660607656
1288ba776a5
1347c521262
142798bd593
15170411bc8
hexe03b921d

3762000413 has 2 divisors, whose sum is σ = 3762000414. Its totient is φ = 3762000412.

The previous prime is 3762000371. The next prime is 3762000427. The reversal of 3762000413 is 3140002673.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3758548249 + 3452164 = 61307^2 + 1858^2 .

It is an emirp because it is prime and its reverse (3140002673) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3762000413 - 26 = 3762000349 is a prime.

It is a super-3 number, since 3×37620004133 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3762000013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1881000206 + 1881000207.

It is an arithmetic number, because the mean of its divisors is an integer number (1881000207).

Almost surely, 23762000413 is an apocalyptic number.

It is an amenable number.

3762000413 is a deficient number, since it is larger than the sum of its proper divisors (1).

3762000413 is an equidigital number, since it uses as much as digits as its factorization.

3762000413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 3762000413 is about 61335.1482675309. The cubic root of 3762000413 is about 1555.2717360262.

The spelling of 3762000413 in words is "three billion, seven hundred sixty-two million, four hundred thirteen", and thus it is an aban number.