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4101535296641 is a prime number
BaseRepresentation
bin111011101011110110100…
…011011110110010000001
3112112002210001021012020102
4323223312203132302001
51014144421013443031
612420115211452145
7602216603535116
oct73536643366201
915462701235212
104101535296641
1113414a6825872
12562aa3a57055
13239a08708213
1410273025090d
1571a54db27cb
hex3baf68dec81

4101535296641 has 2 divisors, whose sum is σ = 4101535296642. Its totient is φ = 4101535296640.

The previous prime is 4101535296587. The next prime is 4101535296643. The reversal of 4101535296641 is 1466925351014.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3906947560000 + 194587736641 = 1976600^2 + 441121^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4101535296641 is a prime.

Together with 4101535296643, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (4101535296643) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2050767648320 + 2050767648321.

It is an arithmetic number, because the mean of its divisors is an integer number (2050767648321).

Almost surely, 24101535296641 is an apocalyptic number.

It is an amenable number.

4101535296641 is a deficient number, since it is larger than the sum of its proper divisors (1).

4101535296641 is an equidigital number, since it uses as much as digits as its factorization.

4101535296641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 777600, while the sum is 47.

The spelling of 4101535296641 in words is "four trillion, one hundred one billion, five hundred thirty-five million, two hundred ninety-six thousand, six hundred forty-one".