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104432444600 = 235211101469993
BaseRepresentation
bin110000101000010101…
…0001010010010111000
3100222120002001212011112
41201100222022102320
53202334201211400
6115550421415452
710354635063341
oct1412052122270
9328502055145
10104432444600
1140320435360
12182a626a588
139b03bc2323
1450a99c30c8
152ab3431835
hex1850a8a4b8

104432444600 has 96 divisors (see below), whose sum is σ = 267501785040. Its totient is φ = 37599360000.

The previous prime is 104432444579. The next prime is 104432444651. The reversal of 104432444600 is 6444234401.

It is a happy number.

104432444600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1044324446002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12797 + ... + 457196.

Almost surely, 2104432444600 is an apocalyptic number.

104432444600 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 104432444600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133750892520).

104432444600 is an abundant number, since it is smaller than the sum of its proper divisors (163069340440).

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

104432444600 is a wasteful number, since it uses less digits than its factorization.

104432444600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470121 (or 470112 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The spelling of 104432444600 in words is "one hundred four billion, four hundred thirty-two million, four hundred forty-four thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 200 202 220 275 404 440 505 550 808 1010 1100 1111 2020 2200 2222 2525 4040 4444 5050 5555 8888 10100 11110 20200 22220 27775 44440 55550 111100 222200 469993 939986 1879972 2349965 3759944 4699930 5169923 9399860 10339846 11749825 18799720 20679692 23499650 25849615 41359384 46999300 47469293 51699230 93998600 94938586 103398460 129248075 189877172 206796920 237346465 258496150 379754344 474692930 516992300 522162223 949385860 1033984600 1044324446 1186732325 1898771720 2088648892 2373464650 2610811115 4177297784 4746929300 5221622230 9493858600 10443244460 13054055575 20886488920 26108111150 52216222300 104432444600