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57608633041 is a prime number
BaseRepresentation
bin110101101001101111…
…011111101011010001
312111200211210202222121
4311221233133223101
51420440302224131
642244240534241
74106411205241
oct655157375321
9174624722877
1057608633041
1122482631733
12b1b9021381
1355811a4b5b
142b0703db21
151772834911
hexd69bdfad1

57608633041 has 2 divisors, whose sum is σ = 57608633042. Its totient is φ = 57608633040.

The previous prime is 57608633009. The next prime is 57608633101. The reversal of 57608633041 is 14033680675.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57154943041 + 453690000 = 239071^2 + 21300^2 .

It is a cyclic number.

It is not a de Polignac number, because 57608633041 - 25 = 57608633009 is a prime.

It is not a weakly prime, because it can be changed into another prime (57608633741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28804316520 + 28804316521.

It is an arithmetic number, because the mean of its divisors is an integer number (28804316521).

Almost surely, 257608633041 is an apocalyptic number.

It is an amenable number.

57608633041 is a deficient number, since it is larger than the sum of its proper divisors (1).

57608633041 is an equidigital number, since it uses as much as digits as its factorization.

57608633041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 362880, while the sum is 43.

The spelling of 57608633041 in words is "fifty-seven billion, six hundred eight million, six hundred thirty-three thousand, forty-one".