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3363006461057 is a prime number
BaseRepresentation
bin110000111100000010110…
…011100011010010000001
3102220111111200222011011222
4300330002303203102001
5420044414123223212
611052535511444425
7464653302156635
oct60740263432201
912814450864158
103363006461057
1110872745237a1
12463934086715
131b518cc23019
14b8aadcd6dc5
155c72d573c72
hex30f02ce3481

3363006461057 has 2 divisors, whose sum is σ = 3363006461058. Its totient is φ = 3363006461056.

The previous prime is 3363006461053. The next prime is 3363006461119. The reversal of 3363006461057 is 7501646003633.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3316481696641 + 46524764416 = 1821121^2 + 215696^2 .

It is a cyclic number.

It is not a de Polignac number, because 3363006461057 - 22 = 3363006461053 is a prime.

It is a super-2 number, since 2×33630064610572 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3363006460999 and 3363006461017.

It is not a weakly prime, because it can be changed into another prime (3363006461051) 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, 1681503230528 + 1681503230529.

It is an arithmetic number, because the mean of its divisors is an integer number (1681503230529).

Almost surely, 23363006461057 is an apocalyptic number.

It is an amenable number.

3363006461057 is a deficient number, since it is larger than the sum of its proper divisors (1).

3363006461057 is an equidigital number, since it uses as much as digits as its factorization.

3363006461057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 816480, while the sum is 44.

The spelling of 3363006461057 in words is "three trillion, three hundred sixty-three billion, six million, four hundred sixty-one thousand, fifty-seven".