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378241853281 is a prime number
BaseRepresentation
bin1011000000100001111…
…10001010011101100001
31100011022022202222211221
411200100332022131201
522144114403301111
6445432323335041
736220120463635
oct5402076123541
91304268688757
10378241853281
11136458735766
1261380521481
132988b938906
14144425badc5
159c8b640371
hex5810f8a761

378241853281 has 2 divisors, whose sum is σ = 378241853282. Its totient is φ = 378241853280.

The previous prime is 378241853263. The next prime is 378241853293. The reversal of 378241853281 is 182358142873.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 375591251025 + 2650602256 = 612855^2 + 51484^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-378241853281 is a prime.

It is a super-2 number, since 2×3782418532812 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (378241853201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 189120926640 + 189120926641.

It is an arithmetic number, because the mean of its divisors is an integer number (189120926641).

Almost surely, 2378241853281 is an apocalyptic number.

It is an amenable number.

378241853281 is a deficient number, since it is larger than the sum of its proper divisors (1).

378241853281 is an equidigital number, since it uses as much as digits as its factorization.

378241853281 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2580480, while the sum is 52.

The spelling of 378241853281 in words is "three hundred seventy-eight billion, two hundred forty-one million, eight hundred fifty-three thousand, two hundred eighty-one".