Search a number
-
+
33264547073 is a prime number
BaseRepresentation
bin11110111110101110…
…001011010100000001
310011212021010002001222
4132332232023110001
51021111211001243
623140450404425
72255216661542
oct367656132401
9104767102058
1033264547073
111311aa7361a
126544290715
1331a1813464
141877c364c9
15cea527168
hex7beb8b501

33264547073 has 2 divisors, whose sum is σ = 33264547074. Its totient is φ = 33264547072.

The previous prime is 33264547067. The next prime is 33264547123. The reversal of 33264547073 is 37074546233.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26951132224 + 6313414849 = 164168^2 + 79457^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33264547073 is a prime.

It is a super-2 number, since 2×332645470732 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33264547273) 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, 16632273536 + 16632273537.

It is an arithmetic number, because the mean of its divisors is an integer number (16632273537).

Almost surely, 233264547073 is an apocalyptic number.

It is an amenable number.

33264547073 is a deficient number, since it is larger than the sum of its proper divisors (1).

33264547073 is an equidigital number, since it uses as much as digits as its factorization.

33264547073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1270080, while the sum is 44.

The spelling of 33264547073 in words is "thirty-three billion, two hundred sixty-four million, five hundred forty-seven thousand, seventy-three".