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61838243009 is a prime number
BaseRepresentation
bin111001100101110110…
…001011010011000001
312220121121120020002122
4321211312023103001
52003121042234014
644224052054025
74316260251524
oct714566132301
9186547506078
1061838243009
1124253092264
12bb99604315
135aa654a14a
142dc8a82bbb
15191dd1258e
hexe65d8b4c1

61838243009 has 2 divisors, whose sum is σ = 61838243010. Its totient is φ = 61838243008.

The previous prime is 61838242997. The next prime is 61838243021. The reversal of 61838243009 is 90034283816.

61838243009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (61838242997) and next prime (61838243021).

It can be written as a sum of positive squares in only one way, i.e., 44456457409 + 17381785600 = 210847^2 + 131840^2 .

It is a cyclic number.

It is not a de Polignac number, because 61838243009 - 216 = 61838177473 is a prime.

It is not a weakly prime, because it can be changed into another prime (61838243099) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30919121504 + 30919121505.

It is an arithmetic number, because the mean of its divisors is an integer number (30919121505).

Almost surely, 261838243009 is an apocalyptic number.

It is an amenable number.

61838243009 is a deficient number, since it is larger than the sum of its proper divisors (1).

61838243009 is an equidigital number, since it uses as much as digits as its factorization.

61838243009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 248832, while the sum is 44.

The spelling of 61838243009 in words is "sixty-one billion, eight hundred thirty-eight million, two hundred forty-three thousand, nine".