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57672106673 is a prime number
BaseRepresentation
bin110101101101100001…
…101000001010110001
312111212021020120102212
4311231201220022301
51421103024403143
642254425221505
74111111550456
oct655541501261
9174767216385
1057672106673
1122505445385
12b216331895
135591399c0c
142b1164382d
1517781c1918
hexd6d8682b1

57672106673 has 2 divisors, whose sum is σ = 57672106674. Its totient is φ = 57672106672.

The previous prime is 57672106651. The next prime is 57672106699. The reversal of 57672106673 is 37660127675.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57488693824 + 183412849 = 239768^2 + 13543^2 .

It is a cyclic number.

It is not a de Polignac number, because 57672106673 - 220 = 57671058097 is a prime.

It is a super-2 number, since 2×576721066732 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (57672106633) 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, 28836053336 + 28836053337.

It is an arithmetic number, because the mean of its divisors is an integer number (28836053337).

Almost surely, 257672106673 is an apocalyptic number.

It is an amenable number.

57672106673 is a deficient number, since it is larger than the sum of its proper divisors (1).

57672106673 is an equidigital number, since it uses as much as digits as its factorization.

57672106673 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2222640, while the sum is 50.

The spelling of 57672106673 in words is "fifty-seven billion, six hundred seventy-two million, one hundred six thousand, six hundred seventy-three".