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147627596009 is a prime number
BaseRepresentation
bin1000100101111101001…
…0100101100011101001
3112010001102100220102002
42021133102211203221
54404320131033014
6151452535420345
713444230601355
oct2113722454351
9463042326362
10147627596009
1157676a249a3
12247402246b5
1310bc8c0650a
147206676465
153c906a9dde
hex225f4a58e9

147627596009 has 2 divisors, whose sum is σ = 147627596010. Its totient is φ = 147627596008.

The previous prime is 147627595981. The next prime is 147627596023. The reversal of 147627596009 is 900695726741.

147627596009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109960549609 + 37667046400 = 331603^2 + 194080^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-147627596009 is a prime.

It is not a weakly prime, because it can be changed into another prime (147627596099) 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, 73813798004 + 73813798005.

It is an arithmetic number, because the mean of its divisors is an integer number (73813798005).

Almost surely, 2147627596009 is an apocalyptic number.

It is an amenable number.

147627596009 is a deficient number, since it is larger than the sum of its proper divisors (1).

147627596009 is an equidigital number, since it uses as much as digits as its factorization.

147627596009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5715360, while the sum is 56.

The spelling of 147627596009 in words is "one hundred forty-seven billion, six hundred twenty-seven million, five hundred ninety-six thousand, nine".