Search a number
-
+
33640844226973 is a prime number
BaseRepresentation
bin1111010011000100111101…
…00100011111000110011101
311102010000220021102210121121
413221202132210133012131
513402132422110230343
6155314220202330541
710041320323610254
oct751423644370635
9142100807383547
1033640844226973
11a7a0002607605
1239339a27b9a51
1315a0419848599
14844322c9379b
153d5120033aed
hex1e989e91f19d

33640844226973 has 2 divisors, whose sum is σ = 33640844226974. Its totient is φ = 33640844226972.

The previous prime is 33640844226967. The next prime is 33640844227121. The reversal of 33640844226973 is 37962244804633.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22661151099129 + 10979693127844 = 4760373^2 + 3313562^2 .

It is a cyclic number.

It is not a de Polignac number, because 33640844226973 - 221 = 33640842129821 is a prime.

It is a super-2 number, since 2×336408442269732 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33640844221973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16820422113486 + 16820422113487.

It is an arithmetic number, because the mean of its divisors is an integer number (16820422113487).

Almost surely, 233640844226973 is an apocalyptic number.

It is an amenable number.

33640844226973 is a deficient number, since it is larger than the sum of its proper divisors (1).

33640844226973 is an equidigital number, since it uses as much as digits as its factorization.

33640844226973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 125411328, while the sum is 61.

The spelling of 33640844226973 in words is "thirty-three trillion, six hundred forty billion, eight hundred forty-four million, two hundred twenty-six thousand, nine hundred seventy-three".