Search a number
-
+
104160646000 = 245398352981
BaseRepresentation
bin110000100000001110…
…1010101001101110000
3100221212010122001120201
41201000131111031300
53201310111133000
6115503432044544
710345124611525
oct1410035251560
9327763561521
10104160646000
11401a0a73014
121822b233754
139a8c7b9958
14508187114c
152a9964396a
hex1840755370

104160646000 has 80 divisors (see below), whose sum is σ = 252121416768. Its totient is φ = 41621088000.

The previous prime is 104160645983. The next prime is 104160646027. The reversal of 104160646000 is 646061401.

104160646000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 104160646000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1939510 + ... + 1992490.

Almost surely, 2104160646000 is an apocalyptic number.

104160646000 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 104160646000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126060708384).

104160646000 is an abundant number, since it is smaller than the sum of its proper divisors (147960770768).

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

104160646000 is an equidigital number, since it uses as much as digits as its factorization.

104160646000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53987 (or 53971 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 104160646000 in words is "one hundred four billion, one hundred sixty million, six hundred forty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 983 1000 1966 2000 3932 4915 7864 9830 15728 19660 24575 39320 49150 52981 78640 98300 105962 122875 196600 211924 245750 264905 393200 423848 491500 529810 847696 983000 1059620 1324525 1966000 2119240 2649050 4238480 5298100 6622625 10596200 13245250 21192400 26490500 52080323 52981000 104160646 105962000 208321292 260401615 416642584 520803230 833285168 1041606460 1302008075 2083212920 2604016150 4166425840 5208032300 6510040375 10416064600 13020080750 20832129200 26040161500 52080323000 104160646000