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3758082049 = 89100941849
BaseRepresentation
bin1101111111111111…
…1100100000000001
3100200220111100102001
43133333330200001
530144032111144
61420524424001
7162062112301
oct33777744001
910626440361
103758082049
111659380737
1288a6a8001
1347b77b8b7
1427917d601
1516eddabd4
hexdfffc801

3758082049 has 8 divisors (see below), whose sum is σ = 3804165000. Its totient is φ = 3712084992.

The previous prime is 3758082037. The next prime is 3758082149. The reversal of 3758082049 is 9402808573.

It can be written as a sum of positive squares in 4 ways, for example, as 346704400 + 3411377649 = 18620^2 + 58407^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3758082049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3758082149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68877 + ... + 110725.

It is an arithmetic number, because the mean of its divisors is an integer number (475520625).

Almost surely, 23758082049 is an apocalyptic number.

It is an amenable number.

3758082049 is a deficient number, since it is larger than the sum of its proper divisors (46082951).

3758082049 is a wasteful number, since it uses less digits than its factorization.

3758082049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42947.

The product of its (nonzero) digits is 483840, while the sum is 46.

The square root of 3758082049 is about 61303.1977061556. The cubic root of 3758082049 is about 1554.7315767898.

The spelling of 3758082049 in words is "three billion, seven hundred fifty-eight million, eighty-two thousand, forty-nine".

Divisors: 1 89 1009 41849 89801 3724561 42225641 3758082049