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4004053033 is a prime number
BaseRepresentation
bin1110111010101001…
…0000000000101001
3101100001022222011111
43232222100000221
531200014144113
61501152430321
7201136614001
oct35652200051
911301288144
104004053033
111775202342
12938b483a1
134ba710466
1429dacb001
151867c613d
hexeea90029

4004053033 has 2 divisors, whose sum is σ = 4004053034. Its totient is φ = 4004053032.

The previous prime is 4004053021. The next prime is 4004053051. The reversal of 4004053033 is 3303504004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3680484889 + 323568144 = 60667^2 + 17988^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4004053033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4004052995 and 4004053013.

It is not a weakly prime, because it can be changed into another prime (4004053073) 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, 2002026516 + 2002026517.

It is an arithmetic number, because the mean of its divisors is an integer number (2002026517).

Almost surely, 24004053033 is an apocalyptic number.

It is an amenable number.

4004053033 is a deficient number, since it is larger than the sum of its proper divisors (1).

4004053033 is an equidigital number, since it uses as much as digits as its factorization.

4004053033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 22.

The square root of 4004053033 is about 63277.5871300415. The cubic root of 4004053033 is about 1587.9370200549.

Adding to 4004053033 its reverse (3303504004), we get a palindrome (7307557037).

The spelling of 4004053033 in words is "four billion, four million, fifty-three thousand, thirty-three".