Search a number
-
+
5006032237 is a prime number
BaseRepresentation
bin1001010100110000…
…11111110101101101
3110220212201210020101
410222120133311231
540223021012422
62144424351101
7235024400113
oct45230376555
913825653211
105006032237
112139858128
12b78615491
1361a19146b
14356bd1ab3
151e4748c27
hex12a61fd6d

5006032237 has 2 divisors, whose sum is σ = 5006032238. Its totient is φ = 5006032236.

The previous prime is 5006032193. The next prime is 5006032243. The reversal of 5006032237 is 7322306005.

5006032237 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4918777956 + 87254281 = 70134^2 + 9341^2 .

It is a cyclic number.

It is not a de Polignac number, because 5006032237 - 211 = 5006030189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (5006038237) 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, 2503016118 + 2503016119.

It is an arithmetic number, because the mean of its divisors is an integer number (2503016119).

Almost surely, 25006032237 is an apocalyptic number.

It is an amenable number.

5006032237 is a deficient number, since it is larger than the sum of its proper divisors (1).

5006032237 is an equidigital number, since it uses as much as digits as its factorization.

5006032237 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 28.

The square root of 5006032237 is about 70753.3196182342. The cubic root of 5006032237 is about 1710.6633356629.

The spelling of 5006032237 in words is "five billion, six million, thirty-two thousand, two hundred thirty-seven".