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46401103753 is a prime number
BaseRepresentation
bin101011001101101110…
…001010011110001001
311102202202212022002021
4223031232022132021
51230012140310003
633152200404441
73231601605604
oct531556123611
9142682768067
1046401103753
1118751239034
128bab776721
1344b6288114
14236278b33b
1513189502bd
hexacdb8a789

46401103753 has 2 divisors, whose sum is σ = 46401103754. Its totient is φ = 46401103752.

The previous prime is 46401103751. The next prime is 46401103757. The reversal of 46401103753 is 35730110464.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25788184569 + 20612919184 = 160587^2 + 143572^2 .

It is a cyclic number.

It is not a de Polignac number, because 46401103753 - 21 = 46401103751 is a prime.

Together with 46401103751, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (46401103751) 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 as a sum of consecutive naturals, namely, 23200551876 + 23200551877.

It is an arithmetic number, because the mean of its divisors is an integer number (23200551877).

Almost surely, 246401103753 is an apocalyptic number.

It is an amenable number.

46401103753 is a deficient number, since it is larger than the sum of its proper divisors (1).

46401103753 is an equidigital number, since it uses as much as digits as its factorization.

46401103753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 34.

The spelling of 46401103753 in words is "forty-six billion, four hundred one million, one hundred three thousand, seven hundred fifty-three".