Search a number
-
+
10386685008 = 24327192918701
BaseRepresentation
bin10011010110001100…
…00011110001010000
3222210212101021020100
421223012003301100
5132232442410013
64434354412400
7515251236330
oct115306036120
928725337210
1010386685008
1144500161a7
12201a591100
13c96b4937b
1470765d0c0
1540bce1473
hex26b183c50

10386685008 has 240 divisors, whose sum is σ = 36177148800. Its totient is φ = 2714342400.

The previous prime is 10386684941. The next prime is 10386685013. The reversal of 10386685008 is 80058668301.

10386685008 is a `hidden beast` number, since 1 + 0 + 3 + 86 + 68 + 500 + 8 = 666.

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, 546058 + ... + 564758.

It is an arithmetic number, because the mean of its divisors is an integer number (150738120).

Almost surely, 210386685008 is an apocalyptic number.

10386685008 is a gapful number since it is divisible by the number (18) 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 10386685008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18088574400).

10386685008 is an abundant number, since it is smaller than the sum of its proper divisors (25790463792).

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

10386685008 is a wasteful number, since it uses less digits than its factorization.

10386685008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18770 (or 18761 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 10386685008 in words is "ten billion, three hundred eighty-six million, six hundred eighty-five thousand, eight".