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57388737400201 is a prime number
BaseRepresentation
bin11010000110001110110110…
…10011101000110110001001
321112012022100210010021002001
431003013123103220312021
530010224113233301301
6322020004430311001
715042125261156404
oct1503073323506611
9245168323107061
1057388737400201
1117316477160909
12652a3a4058461
13260397222a8ac
1410258b5cd6d3b
15697c2d0e5c01
hex3431db4e8d89

57388737400201 has 2 divisors, whose sum is σ = 57388737400202. Its totient is φ = 57388737400200.

The previous prime is 57388737400177. The next prime is 57388737400243. The reversal of 57388737400201 is 10200473788375.

57388737400201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 45471218265225 + 11917519134976 = 6743235^2 + 3452176^2 .

It is a cyclic number.

It is not a de Polignac number, because 57388737400201 - 219 = 57388736875913 is a prime.

It is not a weakly prime, because it can be changed into another prime (57388735400201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28694368700100 + 28694368700101.

It is an arithmetic number, because the mean of its divisors is an integer number (28694368700101).

Almost surely, 257388737400201 is an apocalyptic number.

It is an amenable number.

57388737400201 is a deficient number, since it is larger than the sum of its proper divisors (1).

57388737400201 is an equidigital number, since it uses as much as digits as its factorization.

57388737400201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7902720, while the sum is 55.

The spelling of 57388737400201 in words is "fifty-seven trillion, three hundred eighty-eight billion, seven hundred thirty-seven million, four hundred thousand, two hundred one".