Search a number
-
+
243605373277153 is a prime number
BaseRepresentation
bin110111011000111011001011…
…101111010101001111100001
31011221112110001022110011101011
4313120323023233111033201
5223412212301024332103
62222034432531340521
7102211623146523466
oct6730731357251741
91157473038404334
10243605373277153
1170690505488308
12233a442a751741
13a5c0b712b8774
1444227c4b4766d
151d26b04e59d6d
hexdd8ecbbd53e1

243605373277153 has 2 divisors, whose sum is σ = 243605373277154. Its totient is φ = 243605373277152.

The previous prime is 243605373277117. The next prime is 243605373277237. The reversal of 243605373277153 is 351772373506342.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 188382981671824 + 55222391605329 = 13725268^2 + 7431177^2 .

It is a cyclic number.

It is not a de Polignac number, because 243605373277153 - 29 = 243605373276641 is a prime.

It is a super-3 number, since 3×2436053732771533 (a number of 44 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (243605373277753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 121802686638576 + 121802686638577.

It is an arithmetic number, because the mean of its divisors is an integer number (121802686638577).

Almost surely, 2243605373277153 is an apocalyptic number.

It is an amenable number.

243605373277153 is a deficient number, since it is larger than the sum of its proper divisors (1).

243605373277153 is an equidigital number, since it uses as much as digits as its factorization.

243605373277153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 66679200, while the sum is 58.

The spelling of 243605373277153 in words is "two hundred forty-three trillion, six hundred five billion, three hundred seventy-three million, two hundred seventy-seven thousand, one hundred fifty-three".