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147858416129 is a prime number
BaseRepresentation
bin1000100110110100001…
…1000110001000000001
3112010122111200210002102
42021231003012020001
54410303223304004
6151531503000145
713453032541334
oct2115503061001
9463574623072
10147858416129
1157785248526
12247a5599055
1310c34991b78
14722919c61b
153ca5aa111e
hex226d0c6201

147858416129 has 2 divisors, whose sum is σ = 147858416130. Its totient is φ = 147858416128.

The previous prime is 147858416099. The next prime is 147858416177. The reversal of 147858416129 is 921614858741.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88506250000 + 59352166129 = 297500^2 + 243623^2 .

It is a cyclic number.

It is not a de Polignac number, because 147858416129 - 216 = 147858350593 is a prime.

It is a super-2 number, since 2×1478584161292 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (147858416029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 73929208064 + 73929208065.

It is an arithmetic number, because the mean of its divisors is an integer number (73929208065).

Almost surely, 2147858416129 is an apocalyptic number.

It is an amenable number.

147858416129 is a deficient number, since it is larger than the sum of its proper divisors (1).

147858416129 is an equidigital number, since it uses as much as digits as its factorization.

147858416129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3870720, while the sum is 56.

The spelling of 147858416129 in words is "one hundred forty-seven billion, eight hundred fifty-eight million, four hundred sixteen thousand, one hundred twenty-nine".