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147149903646721 is a prime number
BaseRepresentation
bin100001011101010100000001…
…101111000101000000000001
3201022000101121210100210000001
4201131110001233011000001
5123241401000313143341
61240543422120000001
742665141534364223
oct4135240157050001
9638011553323001
10147149903646721
1142982a18467028
1214606779000001
13641523a6507b1
14284a144192413
151202a900d5d31
hex85d501bc5001

147149903646721 has 2 divisors, whose sum is σ = 147149903646722. Its totient is φ = 147149903646720.

The previous prime is 147149903646643. The next prime is 147149903646727. The reversal of 147149903646721 is 127646309941741.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 144988089210000 + 2161814436721 = 12041100^2 + 1470311^2 .

It is a cyclic number.

It is not a de Polignac number, because 147149903646721 - 231 = 147147756163073 is a prime.

It is not a weakly prime, because it can be changed into another prime (147149903646727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 73574951823360 + 73574951823361.

It is an arithmetic number, because the mean of its divisors is an integer number (73574951823361).

Almost surely, 2147149903646721 is an apocalyptic number.

It is an amenable number.

147149903646721 is a deficient number, since it is larger than the sum of its proper divisors (1).

147149903646721 is an equidigital number, since it uses as much as digits as its factorization.

147149903646721 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54867456, while the sum is 64.

The spelling of 147149903646721 in words is "one hundred forty-seven trillion, one hundred forty-nine billion, nine hundred three million, six hundred forty-six thousand, seven hundred twenty-one".