Search a number
-
+
166563342 = 232111018329
BaseRepresentation
bin10011110110110…
…00111000001110
3102121102021221200
421323120320032
5320120011332
624310010330
74061523261
oct1173307016
9377367850
10166563342
1186025560
12479469a6
132867acba
141819acd8
15e95217c
hex9ed8e0e

166563342 has 48 divisors (see below), whose sum is σ = 397640880. Its totient is φ = 49968000.

The previous prime is 166563311. The next prime is 166563413. The reversal of 166563342 is 243365661.

166563342 is a `hidden beast` number, since 1 + 66 + 563 + 34 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 166563297 and 166563306.

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, 15834 + ... + 24162.

It is an arithmetic number, because the mean of its divisors is an integer number (8284185).

Almost surely, 2166563342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166563342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198820440).

166563342 is an abundant number, since it is smaller than the sum of its proper divisors (231077538).

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

166563342 is a wasteful number, since it uses less digits than its factorization.

166563342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8449 (or 8446 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 166563342 is about 12905.9421198144. The cubic root of 166563342 is about 550.2074611293.

The spelling of 166563342 in words is "one hundred sixty-six million, five hundred sixty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 101 198 202 303 606 909 1111 1818 2222 3333 6666 8329 9999 16658 19998 24987 49974 74961 91619 149922 183238 274857 549714 824571 841229 1649142 1682458 2523687 5047374 7571061 9253519 15142122 18507038 27760557 55521114 83281671 166563342