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48074648208857 is a prime number
BaseRepresentation
bin10101110111001010000000…
…10101000100010111011001
320022012220001220002022212222
422323211000111010113121
522300123334420140412
6250125104414313425
713061164412263034
oct1273450025042731
9208186056068788
1048074648208857
11143553866794a6
1254852324b8875
1320a955c6025ba
14bc2b7ac1a01b
155857ea3aa072
hex2bb9405445d9

48074648208857 has 2 divisors, whose sum is σ = 48074648208858. Its totient is φ = 48074648208856.

The previous prime is 48074648208823. The next prime is 48074648208889. The reversal of 48074648208857 is 75880284647084.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36643784734921 + 11430863473936 = 6053411^2 + 3380956^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-48074648208857 is a prime.

It is a super-3 number, since 3×480746482088573 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (48074648208757) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 24037324104428 + 24037324104429.

It is an arithmetic number, because the mean of its divisors is an integer number (24037324104429).

Almost surely, 248074648208857 is an apocalyptic number.

It is an amenable number.

48074648208857 is a deficient number, since it is larger than the sum of its proper divisors (1).

48074648208857 is an equidigital number, since it uses as much as digits as its factorization.

48074648208857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 770703360, while the sum is 71.

The spelling of 48074648208857 in words is "forty-eight trillion, seventy-four billion, six hundred forty-eight million, two hundred eight thousand, eight hundred fifty-seven".