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241638205993 is a prime number
BaseRepresentation
bin1110000100001011000…
…0100110101000101001
3212002201011220201010221
43201002300212220221
512424333340042433
6303001305210041
723313006601402
oct3410260465051
9762634821127
10241638205993
1193529516698
123a9b8190921
1319a2b8c35a2
14b9a408a9a9
156443ba572d
hex3842c26a29

241638205993 has 2 divisors, whose sum is σ = 241638205994. Its totient is φ = 241638205992.

The previous prime is 241638205973. The next prime is 241638206081. The reversal of 241638205993 is 399502836142.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 224308326544 + 17329879449 = 473612^2 + 131643^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-241638205993 is a prime.

It is a super-2 number, since 2×2416382059932 (a number of 24 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 241638205993.

It is not a weakly prime, because it can be changed into another prime (241638205933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 120819102996 + 120819102997.

It is an arithmetic number, because the mean of its divisors is an integer number (120819102997).

Almost surely, 2241638205993 is an apocalyptic number.

It is an amenable number.

241638205993 is a deficient number, since it is larger than the sum of its proper divisors (1).

241638205993 is an equidigital number, since it uses as much as digits as its factorization.

241638205993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2799360, while the sum is 52.

The spelling of 241638205993 in words is "two hundred forty-one billion, six hundred thirty-eight million, two hundred five thousand, nine hundred ninety-three".