Search a number
-
+
18682172424 = 233582311677
BaseRepresentation
bin10001011001100010…
…110101010000001000
31210012222210200200000
4101121202311100020
5301230114004144
612325451443000
71230650562666
oct213142652010
953188720600
1018682172424
117a17665723
123754756460
1319b966a2c6
14c93283c36
15745208769
hex4598b5408

18682172424 has 96 divisors (see below), whose sum is σ = 52539789120. Its totient is φ = 6219291456.

The previous prime is 18682172417. The next prime is 18682172437. The reversal of 18682172424 is 42427128681.

18682172424 is a `hidden beast` number, since 1 + 8 + 6 + 8 + 217 + 2 + 424 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 18682172424.

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 23 ways as a sum of consecutive naturals, for example, 1594074 + ... + 1605750.

It is an arithmetic number, because the mean of its divisors is an integer number (547289470).

Almost surely, 218682172424 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 18682172424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26269894560).

18682172424 is an abundant number, since it is smaller than the sum of its proper divisors (33857616696).

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

18682172424 is a wasteful number, since it uses less digits than its factorization.

18682172424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12521 (or 12505 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The spelling of 18682172424 in words is "eighteen billion, six hundred eighty-two million, one hundred seventy-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 823 972 1646 1944 2469 3292 4938 6584 7407 9876 11677 14814 19752 22221 23354 29628 35031 44442 46708 59256 66663 70062 88884 93416 105093 133326 140124 177768 199989 210186 266652 280248 315279 399978 420372 533304 630558 799956 840744 945837 1261116 1599912 1891674 2522232 2837511 3783348 5675022 7566696 9610171 11350044 19220342 22700088 28830513 38440684 57661026 76881368 86491539 115322052 172983078 230644104 259474617 345966156 518949234 691932312 778423851 1037898468 1556847702 2075796936 2335271553 3113695404 4670543106 6227390808 9341086212 18682172424