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18780824192 = 271311399881
BaseRepresentation
bin10001011111011011…
…001010001010000000
31210110212102201110012
4101133123022022000
5301430342333232
612343334124052
71233256241324
oct213733121200
953425381405
1018780824192
117a68316209
1237817b0628
131a03c2b230
14ca2403984
1574dbe39b2
hex45f6ca280

18780824192 has 64 divisors (see below), whose sum is σ = 40649976360. Its totient is φ = 8591278080.

The previous prime is 18780824159. The next prime is 18780824207. The reversal of 18780824192 is 29142808781.

It can be written as a sum of positive squares in 4 ways, for example, as 13861765696 + 4919058496 = 117736^2 + 70136^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 18780824192.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138092 + ... + 237972.

Almost surely, 218780824192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18780824192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20324988180).

18780824192 is an abundant number, since it is smaller than the sum of its proper divisors (21869152168).

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

18780824192 is a wasteful number, since it uses less digits than its factorization.

18780824192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100021 (or 100009 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 50.

The spelling of 18780824192 in words is "eighteen billion, seven hundred eighty million, eight hundred twenty-four thousand, one hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 113 128 208 226 416 452 832 904 1469 1664 1808 2938 3616 5876 7232 11752 14464 23504 47008 94016 99881 188032 199762 399524 799048 1298453 1598096 2596906 3196192 5193812 6392384 10387624 11286553 12784768 20775248 22573106 41550496 45146212 83100992 90292424 146725189 166201984 180584848 293450378 361169696 586900756 722339392 1173801512 1444678784 2347603024 4695206048 9390412096 18780824192