Search a number
-
+
3006555541 = 112910938623
BaseRepresentation
bin1011001100110100…
…0110010110010101
321202112100211211221
42303031012112111
522124134234131
61214200530341
7134335205023
oct26315062625
97675324757
103006555541
111303138750
126baa809b1
1338bb6b362
14207431713
15128e3b411
hexb3346595

3006555541 has 16 divisors (see below), whose sum is σ = 3396476160. Its totient is φ = 2636262720.

The previous prime is 3006555529. The next prime is 3006555569. The reversal of 3006555541 is 1455556003.

3006555541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 3006555541 - 215 = 3006522773 is a prime.

It is a super-2 number, since 2×30065555412 = 18078752442235605362, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3006555497 and 3006555506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3006555641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 344356 + ... + 352978.

It is an arithmetic number, because the mean of its divisors is an integer number (212279760).

Almost surely, 23006555541 is an apocalyptic number.

It is an amenable number.

3006555541 is a deficient number, since it is larger than the sum of its proper divisors (389920619).

3006555541 is a wasteful number, since it uses less digits than its factorization.

3006555541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9756.

The product of its (nonzero) digits is 45000, while the sum is 34.

The square root of 3006555541 is about 54832.0667219466. The cubic root of 3006555541 is about 1443.2993311716.

The spelling of 3006555541 in words is "three billion, six million, five hundred fifty-five thousand, five hundred forty-one".

Divisors: 1 11 29 319 1093 8623 12023 31697 94853 250067 348667 2750737 9424939 103674329 273323231 3006555541