Search a number
-
+
3564413381 is a prime number
BaseRepresentation
bin1101010001110100…
…1010000111000101
3100012102001221221102
43110131022013011
524244442212011
61345405425445
7154221004514
oct32435120705
910172057842
103564413381
11156a022591
1283586b285
1344a600359
1425b56867b
1515cdd273b
hexd474a1c5

3564413381 has 2 divisors, whose sum is σ = 3564413382. Its totient is φ = 3564413380.

The previous prime is 3564413329. The next prime is 3564413383. The reversal of 3564413381 is 1833144653.

3564413381 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3429156481 + 135256900 = 58559^2 + 11630^2 .

It is a cyclic number.

It is not a de Polignac number, because 3564413381 - 26 = 3564413317 is a prime.

It is a super-2 number, since 2×35644133812 = 25410085501303702322, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 3564413383, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3564413383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1782206690 + 1782206691.

It is an arithmetic number, because the mean of its divisors is an integer number (1782206691).

Almost surely, 23564413381 is an apocalyptic number.

It is an amenable number.

3564413381 is a deficient number, since it is larger than the sum of its proper divisors (1).

3564413381 is an equidigital number, since it uses as much as digits as its factorization.

3564413381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 103680, while the sum is 38.

The square root of 3564413381 is about 59702.7083221524. The cubic root of 3564413381 is about 1527.5520655347.

The spelling of 3564413381 in words is "three billion, five hundred sixty-four million, four hundred thirteen thousand, three hundred eighty-one".