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3645755441 is a prime number
BaseRepresentation
bin1101100101001101…
…1101000000110001
3100102002010120021022
43121103131000301
524431303133231
61401433105225
7156226260416
oct33123350061
910362116238
103645755441
111600a30029
12858b58215
13461410553
142682a010d
151650edc7b
hexd94dd031

3645755441 has 2 divisors, whose sum is σ = 3645755442. Its totient is φ = 3645755440.

The previous prime is 3645755429. The next prime is 3645755479. The reversal of 3645755441 is 1445575463.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2430884416 + 1214871025 = 49304^2 + 34855^2 .

It is an emirp because it is prime and its reverse (1445575463) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3645755441 - 210 = 3645754417 is a prime.

It is a super-3 number, since 3×36457554413 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3645755392 and 3645755401.

It is not a weakly prime, because it can be changed into another prime (3645752441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1822877720 + 1822877721.

It is an arithmetic number, because the mean of its divisors is an integer number (1822877721).

Almost surely, 23645755441 is an apocalyptic number.

It is an amenable number.

3645755441 is a deficient number, since it is larger than the sum of its proper divisors (1).

3645755441 is an equidigital number, since it uses as much as digits as its factorization.

3645755441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1008000, while the sum is 44.

The square root of 3645755441 is about 60380.0914292120. The cubic root of 3645755441 is about 1539.0846644952.

The spelling of 3645755441 in words is "three billion, six hundred forty-five million, seven hundred fifty-five thousand, four hundred forty-one".