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57681388769 is a prime number
BaseRepresentation
bin110101101110000101…
…000010010011100001
312111212220201011002012
4311232011002103201
51421112413420034
642255400202305
74111253500124
oct655605022341
9174786634065
1057681388769
112250a705134
12b219469395
135593299a94
142b1297c3bb
151778e06cce
hexd6e1424e1

57681388769 has 2 divisors, whose sum is σ = 57681388770. Its totient is φ = 57681388768.

The previous prime is 57681388747. The next prime is 57681388819. The reversal of 57681388769 is 96788318675.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50158081600 + 7523307169 = 223960^2 + 86737^2 .

It is a cyclic number.

It is not a de Polignac number, because 57681388769 - 216 = 57681323233 is a prime.

It is a super-2 number, since 2×576813887692 (a number of 22 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 57681388699 and 57681388708.

It is not a weakly prime, because it can be changed into another prime (57681388069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28840694384 + 28840694385.

It is an arithmetic number, because the mean of its divisors is an integer number (28840694385).

Almost surely, 257681388769 is an apocalyptic number.

It is an amenable number.

57681388769 is a deficient number, since it is larger than the sum of its proper divisors (1).

57681388769 is an equidigital number, since it uses as much as digits as its factorization.

57681388769 is an evil number, because the sum of its binary digits is even.

The product of its digits is 121927680, while the sum is 68.

The spelling of 57681388769 in words is "fifty-seven billion, six hundred eighty-one million, three hundred eighty-eight thousand, seven hundred sixty-nine".