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8668939680 = 253354674297
BaseRepresentation
bin10000001001011010…
…11000010110100000
3211101011010202122000
420010231120112200
5120223222032210
63552113244000
7424552525422
oct100455302640
924334122560
108668939680
113749432765
12181b263600
13a81cc8a0b
145c3478812
1535b0d4ac0
hex204b585a0

8668939680 has 192 divisors, whose sum is σ = 30413335680. Its totient is φ = 2306230272.

The previous prime is 8668939661. The next prime is 8668939711. The reversal of 8668939680 is 869398668.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2015292 + ... + 2019588.

It is an arithmetic number, because the mean of its divisors is an integer number (158402790).

Almost surely, 28668939680 is an apocalyptic number.

8668939680 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 8668939680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15206667840).

8668939680 is an abundant number, since it is smaller than the sum of its proper divisors (21744396000).

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

8668939680 is a wasteful number, since it uses less digits than its factorization.

8668939680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4788 (or 4774 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The square root of 8668939680 is about 93107.1408647049. The cubic root of 8668939680 is about 2054.2596086044.

The spelling of 8668939680 in words is "eight billion, six hundred sixty-eight million, nine hundred thirty-nine thousand, six hundred eighty".