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243905146649 is a prime number
BaseRepresentation
bin1110001100100111100…
…0010010111100011001
3212022120011120020002222
43203021320102330121
512444004204143044
6304014245433425
723423124353003
oct3431170227431
9768504506088
10243905146649
119449210776a
123b32b40b875
131a0004620a8
14bb3b191373
156527be68ee
hex38c9e12f19

243905146649 has 2 divisors, whose sum is σ = 243905146650. Its totient is φ = 243905146648.

The previous prime is 243905146567. The next prime is 243905146651. The reversal of 243905146649 is 946641509342.

243905146649 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 198476487049 + 45428659600 = 445507^2 + 213140^2 .

It is a cyclic number.

It is not a de Polignac number, because 243905146649 - 232 = 239610179353 is a prime.

Together with 243905146651, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 243905146649.

It is not a weakly prime, because it can be changed into another prime (243905146679) 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, 121952573324 + 121952573325.

It is an arithmetic number, because the mean of its divisors is an integer number (121952573325).

Almost surely, 2243905146649 is an apocalyptic number.

It is an amenable number.

243905146649 is a deficient number, since it is larger than the sum of its proper divisors (1).

243905146649 is an equidigital number, since it uses as much as digits as its factorization.

243905146649 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5598720, while the sum is 53.

The spelling of 243905146649 in words is "two hundred forty-three billion, nine hundred five million, one hundred forty-six thousand, six hundred forty-nine".