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638841144001 is a prime number
BaseRepresentation
bin10010100101111011110…
…01100100001011000001
32021001221221022121102011
421102331321210023001
540431321313102001
61205251330452521
764104036061624
oct11227571441301
92231857277364
10638841144001
11226a27197a05
12a398a734141
134831c8c2a58
1422cc4991dbb
151193ec44d51
hex94bde642c1

638841144001 has 2 divisors, whose sum is σ = 638841144002. Its totient is φ = 638841144000.

The previous prime is 638841143989. The next prime is 638841144037. The reversal of 638841144001 is 100441148836.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 333252198400 + 305588945601 = 577280^2 + 552801^2 .

It is a cyclic number.

It is not a de Polignac number, because 638841144001 - 29 = 638841143489 is a prime.

It is not a weakly prime, because it can be changed into another prime (638841124001) 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, 319420572000 + 319420572001.

It is an arithmetic number, because the mean of its divisors is an integer number (319420572001).

Almost surely, 2638841144001 is an apocalyptic number.

It is an amenable number.

638841144001 is a deficient number, since it is larger than the sum of its proper divisors (1).

638841144001 is an equidigital number, since it uses as much as digits as its factorization.

638841144001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 73728, while the sum is 40.

The spelling of 638841144001 in words is "six hundred thirty-eight billion, eight hundred forty-one million, one hundred forty-four thousand, one".