Search a number
-
+
10839373920 = 25325103107683
BaseRepresentation
bin10100001100001001…
…11011100001100000
31000222102012020200100
422012010323201200
5134144334431140
64551325222400
7532416105144
oct120604734140
930872166610
1010839373920
1146625a9071
122126101a00
131039877c2b
1474b81b224
15436911530
hex28613b860

10839373920 has 288 divisors, whose sum is σ = 37752728832. Its totient is φ = 2831533056.

The previous prime is 10839373891. The next prime is 10839373933. The reversal of 10839373920 is 2937393801.

10839373920 is a `hidden beast` number, since 108 + 393 + 73 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15869899 + ... + 15870581.

It is an arithmetic number, because the mean of its divisors is an integer number (131085864).

Almost surely, 210839373920 is an apocalyptic number.

10839373920 is a gapful number since it is divisible by the number (10) 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 10839373920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18876364416).

10839373920 is an abundant number, since it is smaller than the sum of its proper divisors (26913354912).

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

10839373920 is a wasteful number, since it uses less digits than its factorization.

10839373920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 10839373920 in words is "ten billion, eight hundred thirty-nine million, three hundred seventy-three thousand, nine hundred twenty".