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446807129384513 is a prime number
BaseRepresentation
bin110010110010111100110010…
…0001110101110011001000001
32011121000100022002001200022102
41211211321210032232121001
5432030442000110301023
64222140210034120145
7163053515122050062
oct14545714416563101
92147010262050272
10446807129384513
1111a403926332a27
124214226b720055
1316240968189191
147c4981aa74569
15369c72ae4a628
hex1965e643ae641

446807129384513 has 2 divisors, whose sum is σ = 446807129384514. Its totient is φ = 446807129384512.

The previous prime is 446807129384507. The next prime is 446807129384533. The reversal of 446807129384513 is 315483921708644.

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., 280963034850304 + 165844094534209 = 16761952^2 + 12878047^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-446807129384513 is a prime.

It is a super-2 number, since 2×4468071293845132 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 446807129384513.

It is not a weakly prime, because it can be changed into another prime (446807129384533) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 223403564692256 + 223403564692257.

It is an arithmetic number, because the mean of its divisors is an integer number (223403564692257).

It is a 2-persistent number, because it is pandigital, and so is 2⋅446807129384513 = 893614258769026, but 3⋅446807129384513 = 1340421388153539 is not.

Almost surely, 2446807129384513 is an apocalyptic number.

It is an amenable number.

446807129384513 is a deficient number, since it is larger than the sum of its proper divisors (1).

446807129384513 is an equidigital number, since it uses as much as digits as its factorization.

446807129384513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 139345920, while the sum is 65.

The spelling of 446807129384513 in words is "four hundred forty-six trillion, eight hundred seven billion, one hundred twenty-nine million, three hundred eighty-four thousand, five hundred thirteen".