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107873564993 is a prime number
BaseRepresentation
bin110010001110111000…
…0111111100101000001
3101022102220010212220222
41210131300333211001
53231411113034433
6121320104512425
710536131113325
oct1443560774501
9338386125828
10107873564993
11418268a7007
1218aa677b715
13a231ab493c
145314a15985
152c155acb98
hex191dc3f941

107873564993 has 2 divisors, whose sum is σ = 107873564994. Its totient is φ = 107873564992.

The previous prime is 107873564963. The next prime is 107873565029. The reversal of 107873564993 is 399465378701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65077540609 + 42796024384 = 255103^2 + 206872^2 .

It is a cyclic number.

It is not a de Polignac number, because 107873564993 - 236 = 39154088257 is a prime.

It is not a weakly prime, because it can be changed into another prime (107873564933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53936782496 + 53936782497.

It is an arithmetic number, because the mean of its divisors is an integer number (53936782497).

Almost surely, 2107873564993 is an apocalyptic number.

It is an amenable number.

107873564993 is a deficient number, since it is larger than the sum of its proper divisors (1).

107873564993 is an equidigital number, since it uses as much as digits as its factorization.

107873564993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34292160, while the sum is 62.

The spelling of 107873564993 in words is "one hundred seven billion, eight hundred seventy-three million, five hundred sixty-four thousand, nine hundred ninety-three".