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3813404586049 is a prime number
BaseRepresentation
bin110111011111100000101…
…000000011000001000001
3111111120001201111112121201
4313133200220003001001
5444434323033223144
612035504234421201
7542336502105652
oct67374050030101
914446051445551
103813404586049
11124028a523363
12517091591801
132187aa9370a6
14d27d9623529
15692de7551d4
hex377e0a03041

3813404586049 has 2 divisors, whose sum is σ = 3813404586050. Its totient is φ = 3813404586048.

The previous prime is 3813404585999. The next prime is 3813404586091. The reversal of 3813404586049 is 9406854043183.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2514333492225 + 1299071093824 = 1585665^2 + 1139768^2 .

It is a cyclic number.

It is not a de Polignac number, because 3813404586049 - 215 = 3813404553281 is a prime.

It is a super-3 number, since 3×38134045860493 (a number of 39 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (3813404086049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1906702293024 + 1906702293025.

It is an arithmetic number, because the mean of its divisors is an integer number (1906702293025).

Almost surely, 23813404586049 is an apocalyptic number.

It is an amenable number.

3813404586049 is a deficient number, since it is larger than the sum of its proper divisors (1).

3813404586049 is an equidigital number, since it uses as much as digits as its factorization.

3813404586049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9953280, while the sum is 55.

The spelling of 3813404586049 in words is "three trillion, eight hundred thirteen billion, four hundred four million, five hundred eighty-six thousand, forty-nine".