Search a number
-
+
2666160144 = 243326922943
BaseRepresentation
bin1001111011101010…
…0110000000010000
320212210211222011000
42132322212000100
520430014111034
61120321022000
7123032662434
oct23672460020
96783758130
102666160144
111148a8363a
12624a84900
13336498a6b
141b41449c4
151090ed599
hex9eea6010

2666160144 has 80 divisors (see below), whose sum is σ = 7681651200. Its totient is φ = 885377664.

The previous prime is 2666160143. The next prime is 2666160163. The reversal of 2666160144 is 4410616662.

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 = 2666160099 and 2666160108.

It is not an unprimeable number, because it can be changed into a prime (2666160143) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 104737 + ... + 127679.

It is an arithmetic number, because the mean of its divisors is an integer number (96020640).

Almost surely, 22666160144 is an apocalyptic number.

2666160144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2666160144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3840825600).

2666160144 is an abundant number, since it is smaller than the sum of its proper divisors (5015491056).

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

2666160144 is a wasteful number, since it uses less digits than its factorization.

2666160144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23229 (or 23217 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2666160144 is about 51634.8733318869. The cubic root of 2666160144 is about 1386.6347423411.

The spelling of 2666160144 in words is "two billion, six hundred sixty-six million, one hundred sixty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 269 432 538 807 1076 1614 2152 2421 3228 4304 4842 6456 7263 9684 12912 14526 19368 22943 29052 38736 45886 58104 68829 91772 116208 137658 183544 206487 275316 367088 412974 550632 619461 825948 1101264 1238922 1651896 2477844 3303792 4955688 6171667 9911376 12343334 18515001 24686668 37030002 49373336 55545003 74060004 98746672 111090006 148120008 166635009 222180012 296240016 333270018 444360024 666540036 888720048 1333080072 2666160144