Search a number
-
+
166163664 = 243191671091
BaseRepresentation
bin10011110011101…
…11010011010000
3102120122222200210
421321313103100
5320014214124
624253244120
74055240112
oct1171672320
9376588623
10166163664
1185882247
1247793640
132856b0c4
14180d53b2
15e8c3a29
hex9e774d0

166163664 has 80 divisors (see below), whose sum is σ = 454970880. Its totient is φ = 52110720.

The previous prime is 166163651. The next prime is 166163677. The reversal of 166163664 is 466361661.

It is an interprime number because it is at equal distance from previous prime (166163651) and next prime (166163677).

It is a super-2 number, since 2×1661636642 = 55220726467809792, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151759 + ... + 152849.

It is an arithmetic number, because the mean of its divisors is an integer number (5687136).

Almost surely, 2166163664 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 166163664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227485440).

166163664 is an abundant number, since it is smaller than the sum of its proper divisors (288807216).

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

166163664 is a wasteful number, since it uses less digits than its factorization.

166163664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1282 counting only the distinct ones).

The product of its digits is 93312, while the sum is 39.

The square root of 166163664 is about 12890.4485569743. The cubic root of 166163664 is about 549.7670241922.

The spelling of 166163664 in words is "one hundred sixty-six million, one hundred sixty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 167 228 304 334 456 501 668 912 1002 1091 1336 2004 2182 2672 3173 3273 4008 4364 6346 6546 8016 8728 9519 12692 13092 17456 19038 20729 25384 26184 38076 41458 50768 52368 62187 76152 82916 124374 152304 165832 182197 248748 331664 364394 497496 546591 728788 994992 1093182 1457576 2186364 2915152 3461743 4372728 6923486 8745456 10385229 13846972 20770458 27693944 41540916 55387888 83081832 166163664