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3680407657 is a prime number
BaseRepresentation
bin1101101101011110…
…1001000001101001
3100111111100002011201
43123113221001221
530014141021112
61405111524201
7160126643323
oct33327510151
910444302151
103680407657
111619548823
12868689661
13468653c14
1426cb20613
15168196257
hexdb5e9069

3680407657 has 2 divisors, whose sum is σ = 3680407658. Its totient is φ = 3680407656.

The previous prime is 3680407589. The next prime is 3680407739. The reversal of 3680407657 is 7567040863.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2574446121 + 1105961536 = 50739^2 + 33256^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3680407657 is a prime.

It is not a weakly prime, because it can be changed into another prime (3680401657) 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, 1840203828 + 1840203829.

It is an arithmetic number, because the mean of its divisors is an integer number (1840203829).

Almost surely, 23680407657 is an apocalyptic number.

It is an amenable number.

3680407657 is a deficient number, since it is larger than the sum of its proper divisors (1).

3680407657 is an equidigital number, since it uses as much as digits as its factorization.

3680407657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 846720, while the sum is 46.

The square root of 3680407657 is about 60666.3634726856. The cubic root of 3680407657 is about 1543.9455325504.

The spelling of 3680407657 in words is "three billion, six hundred eighty million, four hundred seven thousand, six hundred fifty-seven".