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147009833 is a prime number
BaseRepresentation
bin10001100001100…
…11000100101001
3101020121212120122
420300303010221
5300113303313
622330533025
73433364045
oct1060630451
9336555518
10147009833
1175a8a733
1241297175
13245c2b89
141574b025
15cd8d708
hex8c33129

147009833 has 2 divisors, whose sum is σ = 147009834. Its totient is φ = 147009832.

The previous prime is 147009799. The next prime is 147009839. The reversal of 147009833 is 338900741.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 132894784 + 14115049 = 11528^2 + 3757^2 .

It is an emirp because it is prime and its reverse (338900741) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 147009833 - 214 = 146993449 is a prime.

It is a super-2 number, since 2×1470098332 = 43223781997375778, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 147009793 and 147009802.

It is not a weakly prime, because it can be changed into another prime (147009839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 73504916 + 73504917.

It is an arithmetic number, because the mean of its divisors is an integer number (73504917).

Almost surely, 2147009833 is an apocalyptic number.

It is an amenable number.

147009833 is a deficient number, since it is larger than the sum of its proper divisors (1).

147009833 is an equidigital number, since it uses as much as digits as its factorization.

147009833 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 147009833 is about 12124.7611522867. The cubic root of 147009833 is about 527.7749760918.

The spelling of 147009833 in words is "one hundred forty-seven million, nine thousand, eight hundred thirty-three".