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5006006042229 = 325354361193057
BaseRepresentation
bin100100011011000110100…
…1101100011111001110101
3122201120101011112200110200
41020312031031203321311
51124004300021322404
614351421042511113
71024446332164263
oct110661515437165
918646334480420
105006006042229
1116600429a4a25
1268a245365499
132a40ab4972ca
141344132c9433
158a33eb4e839
hex48d8d363e75

5006006042229 has 24 divisors (see below), whose sum is σ = 7367503335192. Its totient is φ = 3274291537920.

The previous prime is 5006006042153. The next prime is 5006006042243. The reversal of 5006006042229 is 9222406006005.

5006006042229 is a `hidden beast` number, since 5 + 0 + 0 + 6 + 0 + 0 + 604 + 22 + 29 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1193741982225 + 3812264060004 = 1092585^2 + 1952502^2 .

It is not a de Polignac number, because 5006006042229 - 217 = 5006005911157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5006006042193 and 5006006042202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5006006042299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25833669 + ... + 26026725.

It is an arithmetic number, because the mean of its divisors is an integer number (306979305633).

Almost surely, 25006006042229 is an apocalyptic number.

It is an amenable number.

5006006042229 is a deficient number, since it is larger than the sum of its proper divisors (2361497292963).

5006006042229 is a wasteful number, since it uses less digits than its factorization.

5006006042229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247477 (or 247474 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 5006006042229 in words is "five trillion, six billion, six million, forty-two thousand, two hundred twenty-nine".

Divisors: 1 3 9 53 159 477 54361 163083 193057 489249 579171 1737513 2881133 8643399 10232021 25930197 30696063 92088189 10494771577 31484314731 94452944193 556222893581 1668668680743 5006006042229