Search a number
-
+
2668089152 = 263112710589
BaseRepresentation
bin1001111100000111…
…1100111101000000
320212221110222020202
42133001330331000
520431012323102
61120430224332
7123055245401
oct23701747500
96787428222
102668089152
11114a080963
126256550a8
133369c2aa1
141b44c79a8
1510937ee02
hex9f07cf40

2668089152 has 56 divisors (see below), whose sum is σ = 5508833280. Its totient is φ = 1280724480.

The previous prime is 2668089071. The next prime is 2668089163. The reversal of 2668089152 is 2519808662.

2668089152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2668089097 and 2668089106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 246674 + ... + 257262.

Almost surely, 22668089152 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 2668089152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754416640).

2668089152 is an abundant number, since it is smaller than the sum of its proper divisors (2840744128).

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

2668089152 is a wasteful number, since it uses less digits than its factorization.

2668089152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10759 (or 10749 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 47.

The square root of 2668089152 is about 51653.5492681771. The cubic root of 2668089152 is about 1386.9690789316.

The spelling of 2668089152 in words is "two billion, six hundred sixty-eight million, eighty-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 127 248 254 496 508 992 1016 1984 2032 3937 4064 7874 8128 10589 15748 21178 31496 42356 62992 84712 125984 169424 251968 328259 338848 656518 677696 1313036 1344803 2626072 2689606 5252144 5379212 10504288 10758424 21008576 21516848 41688893 43033696 83377786 86067392 166755572 333511144 667022288 1334044576 2668089152