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8669840256 = 2732711432273
BaseRepresentation
bin10000001001100001…
…10100001110000000
3211101012211111222200
420010300310032000
5120223434342011
63552144433200
7424563266130
oct100460641600
924335744880
108669840256
113749998340
12181b618800
13a822528bc
145c3630ac0
1535b211856
hex204c34380

8669840256 has 384 divisors, whose sum is σ = 31841821440. Its totient is φ = 2198568960.

The previous prime is 8669840173. The next prime is 8669840327. The reversal of 8669840256 is 6520489668.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×86698402562 (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 47 ways as a sum of consecutive naturals, for example, 3813136 + ... + 3815408.

It is an arithmetic number, because the mean of its divisors is an integer number (82921410).

Almost surely, 28669840256 is an apocalyptic number.

8669840256 is a gapful number since it is divisible by the number (86) 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 8669840256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15920910720).

8669840256 is an abundant number, since it is smaller than the sum of its proper divisors (23171981184).

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

8669840256 is a wasteful number, since it uses less digits than its factorization.

8669840256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2354 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The square root of 8669840256 is about 93111.9769739640. The cubic root of 8669840256 is about 2054.3307419806.

The spelling of 8669840256 in words is "eight billion, six hundred sixty-nine million, eight hundred forty thousand, two hundred fifty-six".