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57681703969 is a prime number
BaseRepresentation
bin110101101110000110…
…001111010000100001
312111212221022011110021
4311232012033100201
51421113004011334
642255411033441
74111256252101
oct655606172041
9174787264407
1057681703969
112250a8aaa2a
12b21959b881
13559337a3a6
142b12a21201
151778e6a3b4
hexd6e18f421

57681703969 has 2 divisors, whose sum is σ = 57681703970. Its totient is φ = 57681703968.

The previous prime is 57681703967. The next prime is 57681703993. The reversal of 57681703969 is 96930718675.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29150440225 + 28531263744 = 170735^2 + 168912^2 .

It is a cyclic number.

It is not a de Polignac number, because 57681703969 - 21 = 57681703967 is a prime.

It is a super-2 number, since 2×576817039692 (a number of 22 digits) contains 22 as substring.

Together with 57681703967, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (57681703967) 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, 28840851984 + 28840851985.

It is an arithmetic number, because the mean of its divisors is an integer number (28840851985).

Almost surely, 257681703969 is an apocalyptic number.

It is an amenable number.

57681703969 is a deficient number, since it is larger than the sum of its proper divisors (1).

57681703969 is an equidigital number, since it uses as much as digits as its factorization.

57681703969 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17146080, while the sum is 61.

The spelling of 57681703969 in words is "fifty-seven billion, six hundred eighty-one million, seven hundred three thousand, nine hundred sixty-nine".