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3673404003337 is a prime number
BaseRepresentation
bin110101011101000111111…
…100001101010000001001
3111000011200211201001112121
4311131013330031100021
5440141112411101322
611451312152211241
7526252242561535
oct65350774152011
914004624631477
103673404003337
111196977881442
124b3b1b699b21
13208528bccac3
14c9b17cc2bc5
156584896aec7
hex35747f0d409

3673404003337 has 2 divisors, whose sum is σ = 3673404003338. Its totient is φ = 3673404003336.

The previous prime is 3673404003239. The next prime is 3673404003391. The reversal of 3673404003337 is 7333004043763.

3673404003337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3305338527481 + 368065475856 = 1818059^2 + 606684^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3673404003337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3673404003293 and 3673404003302.

It is not a weakly prime, because it can be changed into another prime (3673404003937) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1836702001668 + 1836702001669.

It is an arithmetic number, because the mean of its divisors is an integer number (1836702001669).

Almost surely, 23673404003337 is an apocalyptic number.

It is an amenable number.

3673404003337 is a deficient number, since it is larger than the sum of its proper divisors (1).

3673404003337 is an equidigital number, since it uses as much as digits as its factorization.

3673404003337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1143072, while the sum is 43.

The spelling of 3673404003337 in words is "three trillion, six hundred seventy-three billion, four hundred four million, three thousand, three hundred thirty-seven".