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57676736881 is a prime number
BaseRepresentation
bin110101101101110011…
…010010100101110001
312111212120221210220001
4311231303102211301
51421110221040011
642255112350001
74111166113561
oct655563224561
9174776853801
1057676736881
11225080180a5
12b2179a5301
13559232b59a
142b120cada1
1517787d87c1
hexd6dcd2971

57676736881 has 2 divisors, whose sum is σ = 57676736882. Its totient is φ = 57676736880.

The previous prime is 57676736879. The next prime is 57676736891. The reversal of 57676736881 is 18863767675.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 48085472656 + 9591264225 = 219284^2 + 97935^2 .

It is a cyclic number.

It is not a de Polignac number, because 57676736881 - 21 = 57676736879 is a prime.

It is a super-3 number, since 3×576767368813 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 57676736879, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (57676736861) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28838368440 + 28838368441.

It is an arithmetic number, because the mean of its divisors is an integer number (28838368441).

Almost surely, 257676736881 is an apocalyptic number.

It is an amenable number.

57676736881 is a deficient number, since it is larger than the sum of its proper divisors (1).

57676736881 is an equidigital number, since it uses as much as digits as its factorization.

57676736881 is an evil number, because the sum of its binary digits is even.

The product of its digits is 71124480, while the sum is 64.

The spelling of 57676736881 in words is "fifty-seven billion, six hundred seventy-six million, seven hundred thirty-six thousand, eight hundred eighty-one".