Search a number
-
+
18920410344 = 233211142716741
BaseRepresentation
bin10001100111101111…
…101000110011101000
31210211121002102122200
4101213233220303220
5302222111112334
612405242020200
71236602556123
oct214757506350
953747072580
1018920410344
11802a095370
1238004a7660
131a26b220a4
14cb6b7b3ba
1575b0b7799
hex467be8ce8

18920410344 has 96 divisors (see below), whose sum is σ = 55943727840. Its totient is φ = 5729097600.

The previous prime is 18920410337. The next prime is 18920410357. The reversal of 18920410344 is 44301402981.

It is a happy number.

18920410344 is a `hidden beast` number, since 189 + 20 + 410 + 3 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18920410299 and 18920410308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1121814 + ... + 1138554.

It is an arithmetic number, because the mean of its divisors is an integer number (582747165).

Almost surely, 218920410344 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 18920410344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27971863920).

18920410344 is an abundant number, since it is smaller than the sum of its proper divisors (37023317496).

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

18920410344 is a wasteful number, since it uses less digits than its factorization.

18920410344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18191 (or 18184 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 18920410344 in words is "eighteen billion, nine hundred twenty million, four hundred ten thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 1427 2854 4281 5708 8562 11416 12843 15697 16741 17124 25686 31394 33482 34248 47091 50223 51372 62788 66964 94182 100446 102744 125576 133928 141273 150669 184151 188364 200892 282546 301338 368302 376728 401784 552453 565092 602676 736604 1104906 1130184 1205352 1473208 1657359 2209812 3314718 4419624 6629436 13258872 23889407 47778814 71668221 95557628 143336442 191115256 215004663 262783477 286672884 430009326 525566954 573345768 788350431 860018652 1051133908 1576700862 1720037304 2102267816 2365051293 3153401724 4730102586 6306803448 9460205172 18920410344