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33642144649 is a prime number
BaseRepresentation
bin11111010101001110…
…100110001110001001
310012211120122000120101
4133111032212032021
51022344342112044
623242135525401
72300453340241
oct372516461611
9105746560511
1033642144649
11132a4128233
12662a829861
133231b0cc89
1418b2048b21
15d1d762cd4
hex7d53a6389

33642144649 has 2 divisors, whose sum is σ = 33642144650. Its totient is φ = 33642144648.

The previous prime is 33642144647. The next prime is 33642144703. The reversal of 33642144649 is 94644124633.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31228191225 + 2413953424 = 176715^2 + 49132^2 .

It is a cyclic number.

It is not a de Polignac number, because 33642144649 - 21 = 33642144647 is a prime.

It is a super-2 number, since 2×336421446492 (a number of 22 digits) contains 22 as substring.

Together with 33642144647, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 33642144599 and 33642144608.

It is not a weakly prime, because it can be changed into another prime (33642144647) 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, 16821072324 + 16821072325.

It is an arithmetic number, because the mean of its divisors is an integer number (16821072325).

Almost surely, 233642144649 is an apocalyptic number.

It is an amenable number.

33642144649 is a deficient number, since it is larger than the sum of its proper divisors (1).

33642144649 is an equidigital number, since it uses as much as digits as its factorization.

33642144649 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1492992, while the sum is 46.

The spelling of 33642144649 in words is "thirty-three billion, six hundred forty-two million, one hundred forty-four thousand, six hundred forty-nine".