Search a number
-
+
1006006005550 = 25271319310331109
BaseRepresentation
bin11101010001110101010…
…00010110111100101110
310120011200021210010020001
432220322220112330232
5112440300014134200
62050053000014514
7132452523646210
oct16507250267456
93504607703201
101006006005550
11358710188847
12142b7946143a
1373b34687c90
1436995d7a5b0
151b27db8876a
hexea3aa16f2e

1006006005550 has 192 divisors, whose sum is σ = 2319242808960. Its totient is φ = 316142714880.

The previous prime is 1006006005541. The next prime is 1006006005551. The reversal of 1006006005550 is 555006006001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006006005551) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 907128396 + ... + 907129504.

It is an arithmetic number, because the mean of its divisors is an integer number (12079389630).

Almost surely, 21006006005550 is an apocalyptic number.

1006006005550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1006006005550 is an abundant number, since it is smaller than the sum of its proper divisors (1313236803410).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1006006005550 is a wasteful number, since it uses less digits than its factorization.

1006006005550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2367 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 28.

The spelling of 1006006005550 in words is "one trillion, six billion, six million, five thousand, five hundred fifty".