Search a number
-
+
166646368 = 2571494993
BaseRepresentation
bin10011110111011…
…01001001100000
3102121120111211201
421323231021200
5320130140433
624311450544
74062320320
oct1173551140
9377514751
10166646368
1186081979
1247986a54
13286a9a25
14181bd280
15e96ba7d
hex9eed260

166646368 has 48 divisors (see below), whose sum is σ = 377546400. Its totient is φ = 70926336.

The previous prime is 166646357. The next prime is 166646369. The reversal of 166646368 is 863646661.

166646368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166646369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30880 + ... + 35872.

It is an arithmetic number, because the mean of its divisors is an integer number (7865550).

Almost surely, 2166646368 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 166646368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188773200).

166646368 is an abundant number, since it is smaller than the sum of its proper divisors (210900032).

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

166646368 is a wasteful number, since it uses less digits than its factorization.

166646368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5159 (or 5151 counting only the distinct ones).

The product of its digits is 746496, while the sum is 46.

The square root of 166646368 is about 12909.1582994400. The cubic root of 166646368 is about 550.2988656685.

It can be divided in two parts, 16664 and 6368, that added together give a palindrome (23032).

The spelling of 166646368 in words is "one hundred sixty-six million, six hundred forty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 149 224 298 596 1043 1192 2086 2384 4172 4768 4993 8344 9986 16688 19972 33376 34951 39944 69902 79888 139804 159776 279608 559216 743957 1118432 1487914 2975828 5207699 5951656 10415398 11903312 20830796 23806624 41661592 83323184 166646368