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21456769686 = 23114115495119
BaseRepresentation
bin10011111110111011…
…000101001010010110
32001101100200211120120
4103332323011022112
5322420413112221
613505045012410
71356501350562
oct237673051226
961340624516
1021456769686
119110872710
1241a99b4106
13203c441c31
1410779746a2
15858ac65c6
hex4feec5296

21456769686 has 64 divisors (see below), whose sum is σ = 47996928000. Its totient is φ = 6338131200.

The previous prime is 21456769583. The next prime is 21456769687. The reversal of 21456769686 is 68696765412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21456769687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4189035 + ... + 4194153.

It is an arithmetic number, because the mean of its divisors is an integer number (749952000).

Almost surely, 221456769686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21456769686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23998464000).

21456769686 is an abundant number, since it is smaller than the sum of its proper divisors (26540158314).

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

21456769686 is a wasteful number, since it uses less digits than its factorization.

21456769686 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6725.

The product of its digits is 26127360, while the sum is 60.

The spelling of 21456769686 in words is "twenty-one billion, four hundred fifty-six million, seven hundred sixty-nine thousand, six hundred eighty-six".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 246 451 902 1353 1549 2706 3098 4647 5119 9294 10238 15357 17039 30714 34078 51117 56309 63509 102234 112618 127018 168927 190527 209879 337854 381054 419758 629637 698599 1259274 1397198 2095797 2308669 4191594 4617338 6926007 7929331 13852014 15858662 23787993 47575986 87222641 174445282 261667923 325102571 523335846 650205142 975307713 1950615426 3576128281 7152256562 10728384843 21456769686