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3287668853201 is a prime number
BaseRepresentation
bin101111110101111000010…
…101011000100111010001
3102122022001021222010211112
4233311320111120213101
5412331121211300301
610554200105223105
7456345333110225
oct57657025304721
912568037863745
103287668853201
1110583243a3967
12451209791a95
131ab044a12235
14b51a445a785
155a7be56e9bb
hex2fd785589d1

3287668853201 has 2 divisors, whose sum is σ = 3287668853202. Its totient is φ = 3287668853200.

The previous prime is 3287668853197. The next prime is 3287668853233. The reversal of 3287668853201 is 1023588667823.

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., 3249190107601 + 38478745600 = 1802551^2 + 196160^2 .

It is a cyclic number.

It is not a de Polignac number, because 3287668853201 - 22 = 3287668853197 is a prime.

It is not a weakly prime, because it can be changed into another prime (3287668853291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1643834426600 + 1643834426601.

It is an arithmetic number, because the mean of its divisors is an integer number (1643834426601).

Almost surely, 23287668853201 is an apocalyptic number.

It is an amenable number.

3287668853201 is a deficient number, since it is larger than the sum of its proper divisors (1).

3287668853201 is an equidigital number, since it uses as much as digits as its factorization.

3287668853201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23224320, while the sum is 59.

The spelling of 3287668853201 in words is "three trillion, two hundred eighty-seven billion, six hundred sixty-eight million, eight hundred fifty-three thousand, two hundred one".