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8686940256 = 253429163709
BaseRepresentation
bin10000001011100100…
…00011000001100000
3211102102000021210000
420011302003001200
5120242324042011
63553555140000
7425161526301
oct100562030140
924372007700
108686940256
113758607875
1218252a4600
13a8595c047
145c5a027a8
1535c98d356
hex205c83060

8686940256 has 240 divisors, whose sum is σ = 26628663600. Its totient is φ = 2774725632.

The previous prime is 8686940243. The next prime is 8686940257. The reversal of 8686940256 is 6520496868.

It is a happy number.

It is a super-2 number, since 2×86869402562 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8686940257) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12252030 + ... + 12252738.

It is an arithmetic number, because the mean of its divisors is an integer number (110952765).

Almost surely, 28686940256 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 8686940256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13314331800).

8686940256 is an abundant number, since it is smaller than the sum of its proper divisors (17941723344).

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

8686940256 is a wasteful number, since it uses less digits than its factorization.

8686940256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 906 counting only the distinct ones).

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

The square root of 8686940256 is about 93203.7566624865. The cubic root of 8686940256 is about 2055.6804779339.

The spelling of 8686940256 in words is "eight billion, six hundred eighty-six million, nine hundred forty thousand, two hundred fifty-six".