Search a number
-
+
46400505997 is a prime number
BaseRepresentation
bin101011001101101011…
…111000100010001101
311102202201201221010011
4223031223320202031
51230012012142442
633152135513221
73231563536066
oct531553704215
9142681657104
1046400505997
111875096aa1a
128bab528811
1344b6109011
14236267356d
151318883117
hexacdaf888d

46400505997 has 2 divisors, whose sum is σ = 46400505998. Its totient is φ = 46400505996.

The previous prime is 46400505989. The next prime is 46400506037. The reversal of 46400505997 is 79950500464.

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., 33837234601 + 12563271396 = 183949^2 + 112086^2 .

It is a cyclic number.

It is not a de Polignac number, because 46400505997 - 23 = 46400505989 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 46400505997.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (46400509997) 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, 23200252998 + 23200252999.

It is an arithmetic number, because the mean of its divisors is an integer number (23200252999).

Almost surely, 246400505997 is an apocalyptic number.

It is an amenable number.

46400505997 is a deficient number, since it is larger than the sum of its proper divisors (1).

46400505997 is an equidigital number, since it uses as much as digits as its factorization.

46400505997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1360800, while the sum is 49.

The spelling of 46400505997 in words is "forty-six billion, four hundred million, five hundred five thousand, nine hundred ninety-seven".