Search a number
-
+
10386685904 = 247318933613
BaseRepresentation
bin10011010110001100…
…00011111111010000
3222210212101022110112
421223012003333100
5132232442422104
64434354420452
7515251242050
oct115306037720
928725338415
1010386685904
114450016941
12201a591728
13c96b498ba
1470765d560
1540bce186e
hex26b183fd0

10386685904 has 80 divisors (see below), whose sum is σ = 24008463360. Its totient is φ = 4259312640.

The previous prime is 10386685847. The next prime is 10386685909. The reversal of 10386685904 is 40958668301.

10386685904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10386685909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292202 + ... + 325814.

It is an arithmetic number, because the mean of its divisors is an integer number (300105792).

Almost surely, 210386685904 is an apocalyptic number.

10386685904 is a gapful number since it is divisible by the number (14) 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 10386685904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12004231680).

10386685904 is an abundant number, since it is smaller than the sum of its proper divisors (13621777456).

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

10386685904 is a wasteful number, since it uses less digits than its factorization.

10386685904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33748 (or 33742 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 50.

The spelling of 10386685904 in words is "ten billion, three hundred eighty-six million, six hundred eighty-five thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 89 112 124 178 217 248 356 434 496 623 712 868 1246 1424 1736 2492 2759 3472 4984 5518 9968 11036 19313 22072 33613 38626 44144 67226 77252 134452 154504 235291 268904 309008 470582 537808 941164 1042003 1882328 2084006 2991557 3764656 4168012 5983114 7294021 8336024 11966228 14588042 16672048 20940899 23932456 29176084 41881798 47864912 58352168 83763596 92738267 116704336 167527192 185476534 335054384 370953068 649167869 741906136 1298335738 1483812272 2596671476 5193342952 10386685904