Search a number
-
+
8666880000 = 2113543761
BaseRepresentation
bin10000001001001011…
…00001100000000000
3211101000021010021120
420010211201200000
5120222210130000
63552001152240
7424526156502
oct100445414000
924330233246
108666880000
113748256249
12181a62b680
13a8175737c
145c309dd72
1535ad296a0
hex204961800

8666880000 has 480 divisors, whose sum is σ = 30139789680. Its totient is φ = 2211840000.

The previous prime is 8666879971. The next prime is 8666880023. The reversal of 8666880000 is 886668.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×86668800002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 142079970 + ... + 142080030.

Almost surely, 28666880000 is an apocalyptic number.

8666880000 is a gapful number since it is divisible by the number (80) 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 8666880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15069894840).

8666880000 is an abundant number, since it is smaller than the sum of its proper divisors (21472909680).

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

8666880000 is an equidigital number, since it uses as much as digits as its factorization.

8666880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 8666880000 is about 93096.0794018738. The cubic root of 8666880000 is about 2054.0969031015.

The spelling of 8666880000 in words is "eight billion, six hundred sixty-six million, eight hundred eighty thousand".