Search a number
-
+
1906888728576 = 21331329247151
BaseRepresentation
bin11011101111111011011…
…011001110000000000000
320202022000100120011210210
4123233323123032000000
5222220302003303301
64020002415154120
7254524323520236
oct33577333160000
96668010504723
101906888728576
11675785a7a4a7
12269699215940
1310aa84c9b8b0
14684186a2956
153490892cad6
hex1bbfb6ce000

1906888728576 has 672 divisors, whose sum is σ = 5830213229568. Its totient is φ = 550777651200.

The previous prime is 1906888728551. The next prime is 1906888728581. The reversal of 1906888728576 is 6758278886091.

It is a junction number, because it is equal to n+sod(n) for n = 1906888728498 and 1906888728507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12628402101 + ... + 12628402251.

It is an arithmetic number, because the mean of its divisors is an integer number (8675912544).

Almost surely, 21906888728576 is an apocalyptic number.

1906888728576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1906888728576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2915106614784).

1906888728576 is an abundant number, since it is smaller than the sum of its proper divisors (3923324500992).

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

1906888728576 is a wasteful number, since it uses less digits than its factorization.

1906888728576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 75.

The spelling of 1906888728576 in words is "one trillion, nine hundred six billion, eight hundred eighty-eight million, seven hundred twenty-eight thousand, five hundred seventy-six".